#geometry-and-trigonometry

1 messages Ā· Page 282 of 1

upper karma
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How do you remember back like, 5 hrs-

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Iconic 🤩

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scroll up?

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right click message - copy link

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@upper karma Your status fake information tbh.

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Wait lemme get the video

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Wow you noticed my status

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:D

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That was at 1:32 and you’ve been helping a lot of people since then and there’s been a lot of problems and it-

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Yea, I would forget :(

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Your status assumes that we are the only life form tho.

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I specified humans

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Oh wait

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Life isn't humans tho.

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No like life on earth

brisk ginkgo
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Lmfao I realized there’s a lot of math servers

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Gonna keep joining

upper karma
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Bruhh.

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It said that in the video too

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Like the chances for you to be alive?

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Like it was a ctrl c+ctrl v

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No

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The chances for you to be alive is like $\frac{1}{10^{2.5m}}$

somber coyoteBOT
upper karma
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How long life is compared to the whole universe time length

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Until like all black holes die left and there’s nothing left in the universe

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So time becomes irrelevant

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"Life is possible for .0000000000000000000000000000000000000000000000001% of the universe's lifetime."

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This suggests that the chance of life in general is that number in the universe's lifetime.

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Yesyes, it was a line in the video

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It’s not saying the ā€œchance of lifeā€

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We haven't discovered even a fraction of the universe.

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We only know that we're the only one.

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Astrophysicists are using what they can to predict how long it will be until the ā€œendā€

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What if, hypothetically, we are the only living things in the entire universe and there were no more planets of life to arise?

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I also wouldn’t suggest we talk this out here

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Wouldn't the chance of life in a universe's lifetime be 0.

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And we'd be an outlier?

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But there’s no hypotheses to this

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This is near-accurate information from a factual video

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From what astrophysicists know

brisk ginkgo
upper karma
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Alright, you can think what you want in the end ig, but I’m definitely not arguing here and I would agree with the scientific video. Keep talking if you want, I’ll just ignore you ig

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That video is far from scientific.

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Unless assumptions = science, then sure.

pearl lava
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Umm what does that have to do with geometry?

remote heart
upper karma
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Mb.

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I'm out.

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Good, finally

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sigh

pearl lava
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why is that in here lmao?

upper karma
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Someone just attacked my status

pearl lava
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ooooooh

upper karma
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And wanted an argument abt it in here

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Loll

pearl lava
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wow

upper karma
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@upper karma Wow attack.

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I only bothered to challenge it.

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Well you were pretty aggressive..

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And I thought you said you’d leave?

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Unless you’re actually helping..

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Alright, you can think what you want in the end ig, but I’m definitely not arguing here and I would agree with the scientific video. Keep talking if you want, I’ll just ignore you ig
@upper karma As if this was not aggressive?

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Lmao talking shit about me is helping.

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Nice.

remote heart
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I think he just meant for a debate

upper karma
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I’m not? I literally just pointed out all the verified sources for you. You’re saying all of those sites are wrong when it’s the closest info we can get.

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Not in this channel, oh no

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In DMs, I would be fine

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I only pointed out that your status was assuming that we're the only life form.

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But I don’t wanna waste my time arguing

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ā€œYour status is wrongā€

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And then you went on a rampage on how your sources are superior to whatever anyone says.

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All life on earth

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Your status suggests life in general in the universe..?

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Not my sources.. accurate, scientific sources confirmed by astrophysicists and other scientists

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I literally just copied what the video said

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Watch it before you start an argument

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You realize one of their sources was "Google."

remote heart
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you might be misinterpreting @upper karma

upper karma
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Some google sites like .gov are accurate

pearl lava
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Wow this is some pretty good geometry

upper karma
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Lol fr.

pearl lava
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this is more than I learn in school

upper karma
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Then leviosa can leave and we can continue with actual Geo

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Like they said they would

remote heart
brisk ginkgo
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I still need helpppp

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Sorry if I seem impatient

upper karma
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I know, I’m trying

brisk ginkgo
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No it’s fine lol

upper karma
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No worries haha

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Sorry abt this argument

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@brisk ginkgo inscribed angle

brisk ginkgo
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Ok

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@upper karma

upper karma
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RS would be double the measure of angle SUR

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Because of the inscribed angles theorem

pastel anchor
upper karma
brisk ginkgo
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I’m unsure on how to set up though @upper karma

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@upper karma oh lol I see the video

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Similar problem

upper karma
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Then measure angle STR is congruent to measure angle SUR because they share the same intercepted arc.

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AO is 1/2 the diameter. The diameter is 8. So take 1/2 of 8 for AO.

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Zezexx ^

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@pastel anchor if the diameter (AC) = 8 ... the radius = ?

pearl lava
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What is an inscribed angles theorem?

upper karma
brisk ginkgo
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Wait wrong

upper karma
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Goosy ^

pearl lava
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...

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My head broke

pastel anchor
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@upper karma 4

brisk ginkgo
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The video

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They way make problem is shaped differently

pearl lava
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how to calculate the length of the arc?

upper karma
brisk ginkgo
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Ok

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I just don’t know what to plug for the inscribe angle

pearl lava
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how do you even find the arc?

upper karma
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You would multiply 32 by 2 PWE

pearl lava
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why?

brisk ginkgo
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Ok

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So it’s 64

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Why would I multiply by 2 tho? @upper karma

upper karma
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Because of the intercepted angles theorem

brisk ginkgo
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Would RS be 64?

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@upper karma

upper karma
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SUR is the inscribed angle

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Arc SR is the intercepted arc

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Yes, arc SR is 64 degrees

pearl lava
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So how do you find the arc?

upper karma
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SR is the intercepted Arc of the inscribed angle STR

brisk ginkgo
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Ok thank u

upper karma
brisk ginkgo
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Omg I gotta go out now

upper karma
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Np

brisk ginkgo
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I’ll be back lol

upper karma
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Alright

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Sure cx

brisk ginkgo
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My mom be calling me

pearl lava
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My brain broke

pastel anchor
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yea i said that already @upper karma

pearl lava
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How do you find the length of a circle's arc

upper karma
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the entire thing is 360 degrees

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and that quarter is 90 degrees

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what do you think the measure of angle BCA is?

pastel anchor
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i thoguht angle BCA was a typo

pearl lava
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Wait the arc length can be in degrees?

upper karma
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Yes, there’s degrees for arc length and distance of an arc length

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A whole circle is 360 degrees

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^this is angle BCA

pastel anchor
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wow i didnt think of that

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so its 270

upper karma
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obtuse angles are a thing, you know

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360 - 90, yes

pastel anchor
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yea it just looks weird ig, most of the time at school they use the standard generic shapes

pearl lava
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My eyes never saw this much math before

pastel anchor
upper karma
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just an example

pastel anchor
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send help pls guys last quesstion of my hw 😭

upper karma
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A rectangle = ?

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12 = ?

pastel anchor
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why did u divide by 56? i thought it subtraction

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and isnt 7x suppose to be 7+x because it says "more"

upper karma
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oops

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I read it as 56 times less

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my bad

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x * x = x^2

pastel anchor
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why did u do 7x?

upper karma
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it probably should've been a vertical rectangle, right?

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area of the rectangle is x * 7x

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either way, it still the same thing

pastel anchor
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but wouldn't the "more" means its adding

upper karma
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oh, man...

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I'm tired, and it shows

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yes, you're right

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it's really late here

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I should be sleeping

pastel anchor
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np i think i understand now

upper karma
buoyant mirage
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anyone have a good trig book for independent study?

upper karma
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and since the width of the rectangle = side of square (which is x) ...

weak shoal
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Try Israel Gelfand's Trigonometry @buoyant mirage

buoyant mirage
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thanks

upper karma
buoyant mirage
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thanks :)

weak shoal
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Wowww i didn't get a smiley face sadcat

buoyant mirage
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thinks OwO

upper karma
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all right, I'm off to bed

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I posted the solution above

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hopefully it's correct (I'm really tired)

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g'night

gentle sparrow
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the angle to the left of the 90 degree angle

upper karma
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Yes you can

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You can do

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Arcsin7/sqrt74=Angle left of the right angle

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$arcsin:\frac{7}{\sqrt{24}}=$ Angle left of the right angle

somber coyoteBOT
upper karma
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And then just punch that into your calculator xP

rich wolf
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@upper karma

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\arcsin

upper karma
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Ah thank you!

stark snow
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$$\sin{(b - 1)\theta} - \sin{(a-1)\theta} = 0$$

$$\sin{(b - 1)\theta} = \sin{(a-1)\theta}$$

$$(b - 1)\theta = (a - 1)\theta$$

$$\theta ( b - a ) = 0 \Rightarrow \theta = 0$$

somber coyoteBOT
stark snow
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Why is this wrong to solve for theta? Why can't you simply take inverse sine of both sides like this?

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I did it correctly afterwards using a formula I looked up online for sin(A) - sin(B)

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But I would like to know why this doesn't work

umbral snow
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What function are you applying to both sides to go from line 2 to line 3?

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Basically, "take sin off one factor" isn't a function that exists. @stark snow

silent plank
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^ generally arcsin(sin(x)) \neq x
also improper placement of parentheses

umbral snow
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Ohh oops I fell for the parentheses

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Listen to Ramonov he's smarter

stark snow
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I was trying to do arcsin of both sides

silent plank
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$\sin(b-1)\theta$ implies $\sin(b-1)\times \theta$ which I'm almost certain isn't what you intended.

somber coyoteBOT
stark snow
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No

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Well

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It's what the book uses ahaha

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But I agree, it's not really what I intend

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But I mean sin((b-1)theta)

umbral snow
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Ultimately yes, because arcsin isn't really a proper inverse to sin. It works only for "a part" of sin, and you have to reason your way out of the cases where it doesn't work

stark snow
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Ahh yes

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that makes sense

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okay thanks

upper karma
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How does a right triangle with one of the angles being more than 90 degrees even work

dark sparrow
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in euclidean geometry it doesn't

upper karma
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Well someone showed it in a graph

dark sparrow
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can you show the graph

upper karma
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Said sin120 was 0.5 or something I'll need to check later

dark sparrow
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oh that

upper karma
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Around 5 min mari

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Mark*

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Like the opposite side literally flipped from the right side to the left side

ripe dove
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Better have been sin(150degrees) is .5

dark sparrow
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sin(120°) is sqrt(3)/2, not 1/2.
anyway

upper karma
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Wait he said it was .866

dark sparrow
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the 120 degree angle is no longer inside the triangle

upper karma
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For sin120

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Wouldn't it just be not a right triangle then why would the entire opposite side just appear on the left

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Or is this one of those abstract things that I shouldn't think too hard on

ripe dove
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@brisk ginkgo you need to find an open channel

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@upper karma the 120 degree angle is not inside the triangle

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There is A right triangle still, but it has a 60 degree angle inside instead of the 120 degree angle

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The initial triangle has ā€œbrokenā€

dark sparrow
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Wouldn't it just be not a right triangle then why would the entire opposite side just appear on the left
it's still a right triangle

ripe dove
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If you notice, it’s not just the opposite side that had to move

upper karma
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So beyond 90 degrees the hypotenuse stops working?

ripe dove
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In plane geometry, the sum of the INTERNAL angles of a triangle is 180degrees

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And there MUST BE 3 angles

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In a right triangle, one of the angles is 90 degrees

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No angle in a triangle can have a negative measure

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So both of the other angles INSIDE the triangle MUST BE smaller than 90 and sum to 90

upper karma
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It's still hard for me to grasp but I think I'm getting a bit of it

ripe dove
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The right triangle that appears when someone uses an angle of 120 degrees is the same triangle as if they had used 60 degrees

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It has just been turned around/reflected across the y-axis

upper karma
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I guess it's the whole turning around thing that confuses me. I keep trying to find a real example of that in my head but there's nothing

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Perhaps it's just an abstract concept or something that doesn't necessarily have a direct connection to a real life phenomenon?

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It is in a plane after all

ripe dove
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Does that Help?

upper karma
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Idk I just feel like I have a triangle and I extended it beyond 90 degrees, it'll just end up looking like those 2d pyramid shape triangles

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But not necessarily equilateral, a badly shaped pyramid

ripe dove
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In order to do that, you must abandon the right angle

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What I’m saying is that you are correct, if an internal angle of the triangle is greater than 90 degrees there is an obtuse triangle that can be made.

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@upper karma

upper karma
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angle STR = T in the middle, T is the "tip" of the angle

brisk ginkgo
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@upper karma would it equal to 32?

upper karma
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I mean, look at where it's "opening" up to

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it's opening up to a 64 degree arc

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what do you think?

brisk ginkgo
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I thought it be 32 since it’s congruent? @upper karma

upper karma
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it's an inscribed angle

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same as angle SUR

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did you not learn about inscribed angles?

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didn't I link you a video yesterday?

brisk ginkgo
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Yeah u did

upper karma
brisk ginkgo
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Thank u!

upper karma
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sure thing

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all of them are congruent

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(meaning they're the same)

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because they open up to 64 degrees

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and they're inscribed angles

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so that means they're all 32 degrees

brisk ginkgo
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@upper karma it is 32

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@upper karma thank u!

upper karma
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same as angle SUR, yes

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they're all congruent to angle SUR

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if they were to start from the center of the circle, it would've been a different story

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(see the above video)

brisk ginkgo
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I just don’t understand this question lmfao

upper karma
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@brisk ginkgo

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it's called "the chord-chord power theorem"

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you really should watch that entire video

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you might just learn something

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if not, search youtube for "circle theorems"

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pick a video

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and always read the comments because sometimes they mess up

brisk ginkgo
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@upper karma thank u!

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@upper karma can u give me a time lapse of which part to watch?

upper karma
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click the video

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it has a timestamp

brisk ginkgo
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Oh ok

upper karma
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27:43

brisk ginkgo
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@upper karma thanks and neither of them is possible right?

upper karma
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do you really need to ask? ...

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I mean...

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if you multiplied them correctly, are you really not sure of the result?

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5 * 12 = 6 * 10 ?

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well?

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are they equal?

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4 * 9 = 6 * 8

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again, equal?

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also, why are you quitting Discord immediately

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?

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I don't... understand

brisk ginkgo
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Oh no I’m not quitting discord lol

upper karma
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is it because of the notification sounds?

brisk ginkgo
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I’m multitasking

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Behind behind......

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@upper karma

upper karma
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it says you're offline

brisk ginkgo
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It does?

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Ok I put online

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Yeah I’m just double checking

upper karma
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you need to have a little more confidence in your work

brisk ginkgo
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@upper karma literally exactly what my teachers say lmfao they say I overthink a lot

upper karma
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you have a calculator on your phone, right? use that to check your work

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even though in general, you should avoid using one

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because you won't have access to one during tests

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or when you're in front of a whiteboard

brisk ginkgo
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We are allowed to use calculator in test

upper karma
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Ahah

brisk ginkgo
upper karma
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UwU

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@brisk ginkgo Very easy

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For 2nd one, see if the intersecting secants theorem applies

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Use google sometimes son

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Google has many valid answers

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Just interpret what is happening in the diagram

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See how in the diagram it shows a tangent and secant intersecting

brisk ginkgo
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Like I didn’t use google lol

upper karma
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?

brisk ginkgo
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Thank u

upper karma
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Learn theorems son

brisk ginkgo
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I did use google but i couldn’t find it

upper karma
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Geometry is all about theorems

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@brisk ginkgo Just interpret what’s happening inside the circle

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You do know what a tangent and secant is right?

brisk ginkgo
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@upper karma wait PC? What would I do with 20 and 28?

upper karma
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Is 20 the length of the outer segment?

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Look at the picture I sent u

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Check this too, see how I just specified how a tangent and secant is intersecting.

brisk ginkgo
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Yeah PC^2

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Look at my problems

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It doesn’t even have letters

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@upper karma

upper karma
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What is PC?

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It doesn’t specify what is pc

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What u talking about?

brisk ginkgo
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Intersect at point u

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So the equation for diagram A I did 20*22

upper karma
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20 * 28 = 22^2

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If it’s correct

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Then the diagram is true

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@brisk ginkgo

brisk ginkgo
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Ok thanks!

upper karma
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But do you understand how I got the equation 20 * 28 = 22^2?

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Do you?

brisk ginkgo
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Yeah

upper karma
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Alright šŸ‘

brisk ginkgo
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The PC part I wasn’t sure

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@upper karma so it’s not possible diagram a?

upper karma
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Check your arithmetic

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Does it equal?

brisk ginkgo
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Nope

upper karma
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Correct

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Yes

brisk ginkgo
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I got 560=44

upper karma
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Good job

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Ya but it’s 22 squared

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Not 22 x 2

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@brisk ginkgo You understand?

brisk ginkgo
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Oh

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Still not possible

upper karma
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Ya

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Good job

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@paper oar Awesome

brisk ginkgo
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@upper karma for diagram B I have to do 4524 and 4923?

upper karma
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Hold on

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Do you know what the intersecting secant theorem is?

brisk ginkgo
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Why did my numbers change?

upper karma
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What

brisk ginkgo
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So both of them not possible

upper karma
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What theorem did you apply on the second one

brisk ginkgo
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Nm

upper karma
#

?

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Did you apply this theorem?

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@brisk ginkgo

brisk ginkgo
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Yeah

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Same thing!

upper karma
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Ya it’s false

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It isn’t possible

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Good job

brisk ginkgo
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Thank u!

upper karma
#

šŸ‘

foggy path
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Hello I need some trig help for class work

upper karma
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Yes

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I got u

foggy path
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The equation is 4cscx + cot^2x=-5

upper karma
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Yeah nvm

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Sorry

foggy path
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🄺

upper karma
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Ping helpers if u need to

foggy path
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It’s ok

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@river forge

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@old holly

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@graceful totem

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<@&286206848099549185>

weak shoal
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Stop tagging 1000 different people for your problem

upper karma
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Keep going @foggy path

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Oh my god thats so annoying @foggy path

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Stop

weak shoal
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We know that:

$\sin^2(x)+\cos^2(x) = 1$

$1 + \frac{\cos^2(x)}{\sin^2(x)} = \frac{1}{\sin^2(x)}$

$1 + \cot^2(x) = \csc^2(x)$

Now, let $\cos^2(x) = \csc^2(x)-1$. Then:

$4\csc(x)+\csc^2(x)-1 = -5$

upper karma
#

Didn't even waited the 15mins rule smh

somber coyoteBOT
weak shoal
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This is a quadratic in $\csc(x)$

somber coyoteBOT
weak shoal
#

I hope you can do something with that

foggy path
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Lol it didn’t @weak shoal

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But thx for trying to help

rich wolf
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@foggy path let csc(x) = c

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then

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$c^2+4c+4=0$

somber coyoteBOT
rich wolf
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solve for c

upper karma
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ok

sullen pollen
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hey guys can y’all solve this problem for me i’m stuck on it on my homework

upper karma
#

@sullen pollen Still need?

sullen pollen
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yes

upper karma
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@sullen pollen The angle AKD is given.

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Use that to get x. (180-that angle)

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Then use laws of sines to get y.

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Then use pythagorean theorem to get w (since you have 2 sides of that triangle.)

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Angle AKD is 130.

sullen pollen
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ok heres what i got could u check?

upper karma
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How'd you solve for x?

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Look at 1.

sullen pollen
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okay

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i’m still very confused on x

upper karma
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x=130.

sullen pollen
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ohhh okay

rich wolf
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i wouldn't say that 1 and 2 are no brainers necessarily

sullen pollen
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but my y and w were correct right?

upper karma
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No.

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Because your x was initially wrong.

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But your method seems to be right.

sullen pollen
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my head is bursting šŸ˜‚

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so i would change the sin and tan from 65 degrees to 130 and then solve it again

upper karma
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Yes.

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Jkjk.

sullen pollen
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?

ripe dove
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x is not 130

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130 is the supplement of x

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because x is inside that little right triangle

sullen pollen
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@ripe dove so was my previous answer for x correct?

ripe dove
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no, that was wrong too

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because x corresponds to angle BKD

sullen pollen
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do you know how to solve for x?

ripe dove
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yes, i know what x is

sullen pollen
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so x is 50

ripe dove
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oddly enough, so did @upper karma earlier

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Use that to get x. (180-that angle)

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yes, x is 50

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degrees

sullen pollen
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thankyou

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is there a theorem for that? o

ripe dove
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well, angle AKD and angle BKD are supplementary since AB is a straight line

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and the sum of the measure of supplementary angles is 180 degrees

upper karma
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Awesome

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Oh oof.

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Accidentally said x=130.

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Smh mb.

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Yes

sullen pollen
upper karma
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@sullen pollen Ye.

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Is anyone here good at identifying and proving trig identities? I am having trouble with them

versed river
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Plenty of people, but you gotta post the actual question you want help with

upper karma
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Ah ah I’m sorry

versed river
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Dw mate

upper karma
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Okay what can you do on the spot.

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You can do 2 things using trig identities.

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Sneaky you help.

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I gtg.

versed river
#

Bruh im in class now. Start by multiplying both sides by (1+tan^2(x)) since those fractions are ugly. Then notice that you have sin^2x+cos^2x which is equal to 1

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See what you can do from there

upper karma
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Ok uh

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?

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No.

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Don't listen to him.

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@upper karma sin^2+cos^2=...?

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I’m sorry I really don’t know

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Oh.

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I have the functions and stuff

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Bruh you kinda need to know trig identities.

versed river
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Huh what did i do wrong

upper karma
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@versed river Easier way to solve this.

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A lot easier way.

#

Okay sin^2+cos^2=?

#

Oh wait Lima

#

*lmao

#

1

#

Alright.

#

Now the numerator is 1+cot^2

#

What is that?

versed river
#

Oh ok i see yeah thats mb

upper karma
#

2nd collumn first row KEKW

#

csc^2x

#

And then the denominator is 1+tan^2.

#

Which is?

#

3rd collumn first row KEKW

#

sec^2x

#

Oh oh and then

#

Yeah the rest should be easy.

#

cot^2x/sec^2x is cot^2x

#

Yeah.

#

Wait no

#

It is.

#

Wait.

#

Wtf is that cot doing there.

#

csc^2/sec^2=cot^2

#

Yea that’s what I meant

#

csc^2=1/sin^2
sec^2=1/cos^2.

#

(1/sin^2)/(1/cos^2)=(cos^2)/(sin^2)=cot^2.

#

Basically multiply by reciprocal.

umbral snow
#

,w graph 4^x

somber coyoteBOT
rich wolf
#

,w graph exp(xln4)

somber coyoteBOT
raw jay
#

is anyone good at geometry and able to help me?

gleaming yoke
versed river
gleaming yoke
#

aa right, ty

upper karma
#

<@&268886789983436800>

#

@raw jay no offering money; against the rules

#

remove it from your msg

nocturne thorn
#

How can I find the sides of the triangle?

upper karma
#

is triangle ABC an isosceles triangle?

nocturne thorn
#

yes

little osprey
#

Is it equilateral

nocturne thorn
#

sadly not

little osprey
#

What have you covered so far in class

upper karma
#

you need 3 things to solve a triangle, either one of these scenarios: AAS, ASS, AAA, SSS

nocturne thorn
#

Recipical Identities, Tangent Identities, Contangent Identity, Pythagorean Identities, Law of sines, Ambiguius case, Angle Difference Identities, Angle sum idnntities, etc..

little osprey
#

Ok so trig

#

epic

#

cosine?

upper karma
#

cosine of what?

little osprey
#

law of cosines

nocturne thorn
#

yes

upper karma
#

ok, law of cosines

#

with what?

little osprey
#

I was just asking

#

with triangles ig

upper karma
#

it's missing the distance to the triangle

nocturne thorn
#

I need a side, but i can't figure out how to find a side

#

what if I do this:

little osprey
#

ok, how will you utilise that

upper karma
#

then you would have two angles and a side

#

which is enough to solve it

little osprey
#

Is AcC and BcC right angles

upper karma
#

he said it's an isosceles triangle, so... if that's the height, then yes

little osprey
#

True DSpider

upper karma
#

they're right angles

little osprey
#

I only caught on to what you ment about the congruent triangles now DSpider šŸ˜…

nocturne thorn
#

I forgot to tell u guys that this is a real life scenario question. The math teacher told us to create a clinometer to measure the angles. I just measured beta and it's 110

upper karma
#

you have two angles now

nocturne thorn
#

u are smart

#

holy cows xD

azure reef
#

beta= 110?

#

oh no

little osprey
#

Hello Commander

upper karma
#

angle beta is less than 90 degrees

azure reef
#

beta is 25 hence

#

hello jc

#

with known alpha however now you actually know all the triangle's angles

upper karma
azure reef
#

since 180-alpha should be equal to the two remaining angles of triangle which you obtain by extending height

#

and since one of them would be 90 deg you have half of an angle ACB

#

hence you have ACB as well

#

and is triangle isosceles? it is, so the remaining two angles of ABC are also known now

#

with three angles and at least one side you are done

#

and, actually, i suppose you implicilty have at least one side

upper karma
azure reef
#

180 minus sum

#

of the remaning two

upper karma
#

hint: all angles from a triangle need to add up to 180

#

yep

azure reef
#

and you have one side also

#

so from this you can find the remaining two sides

#

and so on

upper karma
#

wait...

nocturne thorn
#

huh

#

how does that help me with finding sides a b c?

upper karma
#

155 + 25 = 180, it's wrong

azure reef
#

you have two right triangles also
one with catet h and also catet 13+h

#

90-65 = 25 -> beta = 25

#

huh really

#

you have two angles now
because here is a mistake

upper karma
#

it's not 25

azure reef
#

alpha can not be just moved down if it still "points" to the C

#

i mean it changes the angle

#

oh yes, look i cannot draw it but if you move a down by 177 cm you ll be able to find beta = 90-65=25

#

so beta is 25 it is correct

nocturne thorn
azure reef
#

ano

nocturne thorn
#

isn't betta 55

#

beta*

#

wait

#

nvm

upper karma
azure reef
upper karma
#

@azure reef are you sure those alphas are right?

azure reef
#

yes

upper karma
#

those lines would have to be parallel

#

what makes you think they are?

azure reef
#

it the only configuration that preserves alpha

upper karma
#

that would also make the height of the triangle 177

#

and it might not be

dire mural
#

um sorry to bother you guys, but I need help with math :/

azure reef
#

that would also make the height of the triangle 177
@upper karma btw it is

upper karma
#

@dire mural use another channel, this is occupied.

dire mural
#

Sorry!

upper karma
#

Use anyone that isnt being used like #help-3

dire mural
#

okay

azure reef
#

nvm

#

we know a lol

#

oh shit

#

i am idiot

upper karma
#

bruh

azure reef
#

now we know one of the cathetus of rectangular triangle

#

and angle

upper karma
#

is it a right angle

azure reef
#

so we are actually able to find all the sides of rectangular triangle

#

and hence of original

nocturne thorn
#

my brain is exploding

upper karma
#

so you have all 3 angles from this triangle

#

now you just need a side

minor flower
#

i have a math test can anyone help?

upper karma
#

@minor flower we don't help with tests

minor flower
#

😦

upper karma
#

it's against the rules

nocturne thorn
upper karma
#

,rotate -90

somber coyoteBOT
azure reef
upper karma
#

what makes you think it's 25?

azure reef
#

BC should be equal to 177

nocturne thorn
#

Does that makes any sense?

upper karma
#

,rotate -90

somber coyoteBOT
azure reef
#

here, all you need is to find AC and AB from sines/cosines theorem
@azure reef then you'll find AD from ADB triangle and by that you get DC and all sides

#

Does that makes any sense?
it does not give you anything since you are not able to find the sides

#

you have not enought data

upper karma
#

@nocturne thorn what makes you think these are 65 degrees?

azure reef
#

follow my setting, it gives height and hence sides and two angles which is better

nocturne thorn
#

here, all you need is to find AC and AB from sines/cosines theorem
@azure reef where did u get 25 ° from?

azure reef
#

alpha is 65

upper karma
nocturne thorn
#

oops

upper karma
#

šŸ™‚

nocturne thorn
#

how can i go further to dind the answer

azure reef
#

a = 65
BC = 177

#

ACB angle is also right angle

#

to you have triangle ACB with three angles and side

#

from these you are able to find AB

#

and AC also then is derived

nocturne thorn
#

How is the angle 25? (the bottom left)

azure reef
#

the issue then is to find BD or AD (-> CD)

#

How is the angle 25? (the bottom left)
@nocturne thorn because i just moved AB down by 177 units

#

so it is parallel

#

and preserves alpha angle

#

and hence presevers 90-a=90-65=25

nocturne thorn
#

Oh ok

upper karma
#

^no

azure reef
#

prove that no

#

oh

#

here

#

25 is inner angle of parallelogram

#

not outer

nocturne thorn
#

what?

azure reef
nocturne thorn
#

oh ok

azure reef
#

then you just use cosine and sine theorem and that's it you got all sides

nocturne thorn
#

oh that makes sense now

#

@azure reef thanks for your time

#

wait

#

how would i find the angles?

azure reef
#

25 = ABC

#

a = AC[lower end of height from A down]

nocturne thorn
#

How would I find BDC and CDB?

#

and why do u think BC is 177?

upper karma
nocturne thorn
#

that makes a lot more sense now

#

thanks @upper karma

#

but, do u know how i can find angle CAB?

upper karma
#

I got nothing

#

do they give you the area of the isosceles triangle?

#

because then we could get the base of the triangle from that (side AB)

autumn wind
#

Can i post graphs here?

little osprey
#

yes

dark sparrow
#

wdym

#

image sending is allowed and in fact encouraged for posting problems

little osprey
#

^

autumn wind
#

I mean i'm new here caz i need help

#

and idk

dark sparrow
#

post your problem

#

it's PREFERRED that you send a picture

autumn wind
#

oh..

#

it's in dutch so welp

#

:/

dark sparrow
#

post the pic and a translation

autumn wind
dark sparrow
#

okay

#

so what's giving you trouble here?

autumn wind
#

the problem

#

i'm not good at geometry and first time we do it

#

and it's online school teacher just gives us homework with no explanation

upper karma
#

translate the description?

ripe dove
#

P is the point (5,something)

autumn wind
#

i did translate

ripe dove
#

a is the line $ y = 2 x +1 $

#

What is the x-coordinate of P?

#

If you put that into the equation for a, what must the y coordinate be?

somber coyoteBOT
upper karma
#

P(x,y)

#

P(5,y)

#

what is the x coordinate of point P?

ripe dove
#

I wonder if they will answer if every helper asks the same question...

autumn wind
#

uhhh idk
that's all the problem gives

upper karma
#

the x coordinate of point P is 5

autumn wind
#

yes

#

and s is y

upper karma
#

yes

#

now, can you graph that line?

#

what does y = 2x + 1 look like?

#

this is what it looks like

autumn wind
#

so s is 1?

upper karma
#

no

#

open that website

autumn wind
#

yes i did

upper karma
#

draw your cursor/finger on the red line

#

until you get to 5

#

on the x axis

autumn wind
#

5;11

nocturne thorn
upper karma
#

do you understand why it's 11?

#

hint: it rhymes with Mythagora

autumn wind
#

y axis

#

uh no

#

u mean pythagora?

upper karma
#

well, I mean they don't ask you for the size of the segment

#

just the y coordinate

#

how about now?

#

the horizontal line is the x axis

#

the vertical line is the y axis

autumn wind
#

yes

#

so y is 11 and x is 5

upper karma
#

so if you reach the x coordinate (which is 5) when you drag your finger on the red line...

#

you would also reach 11 on the y axis

autumn wind
#

yes

upper karma
#

ok

#

by the way, this is called linear algebra

autumn wind
#

so P(5;11)?

upper karma
#

yes

#

obviously

autumn wind
#

and what if we changed the numbers

#

p(s;21)

upper karma
#

same thing

#

first draw the line

#

(make sure it's graphed correctly)

autumn wind
#

i just have to write it down

upper karma
#

then drag your cursor/finger until you reach 21 on the y axis

autumn wind
#

ok ty

#

now i can do this

upper karma
#

good luck

autumn wind
#

but i have one more that i have never heard of

upper karma
autumn wind
#

uh

#

i don't think it is

upper karma
#

is it related to trigonometry?

autumn wind
#

it's something with Cartesian equation

upper karma
#

if not, post in one of the free #help-5 [greek letter] channels

#

cartesian equations = linear algebra

dark sparrow
#

uh

#

no

upper karma
#

no?

dark sparrow
#

no

upper karma
#

no 😦

dark sparrow
#

linear algebra is about vectors and matrices and things like that

nocturne thorn
#

is that correct? (the top right)

#

So angle C is 60

upper karma
#

no

nocturne thorn
#

huh

upper karma
#

there's nothing to indicate the fact that the angle there is 30 degrees

nocturne thorn
#

i just realized aswell

#

I thought that it was a 90 degree angle

upper karma
nocturne thorn
#

i know, it's wrong

#

i just had a though

#

Can we assume it is?

upper karma
#

based on what?

nocturne thorn
#

On nothing :/

#

I found sides: x, y, h and angles delta and beta

#

how can i move forward

upper karma
#

the problem is that triangle ABC is completely independent of the other ones

#

at most, they share the height as one of the sides

#

but

#

you can't use that information if you don't have the area of triangle ABC

nocturne thorn
#

So, it's a dead end?

upper karma
#

to solve triangle ABC (or any triangle, really) you need 3 things

#

AAS, ASS, SSS, AAA

#

A - angle

#

S - side

#

you have neither

#

you only have the height of triangle ABC

#

which I suppose you could use half of the triangle (since it's an isosceles triangle)

#

but then you'd only have one side

#

yay?

#

oh, and I suppose you also have an angle

#

(90 degrees)

#

so you have a side, and an angle

#

you need another side or an angle to solve it

#

AAS, ASS, SSS, AAA

nocturne thorn
#

hmmmm, thanks a lot @upper karma

upper karma
#

sure thing

azure reef
upper karma
#

like I said, if they had given you the area of triangle ABC, you could've extracted the base of the isosceles triangle, and had another side to work with

nocturne thorn
#

@azure reef

#

wait, that wont help me

#

right?

azure reef
#

it was just notation

upper karma
#

that's the Greek letter "gamma"

#

and it's completely unknown

dark sparrow
#

it's upside down

azure reef
#

i mean it should be connected to the cosine and sine theorems

dark sparrow
#

doesn't look like a gamma

#

$\gamma$

somber coyoteBOT
dark sparrow
#

this is a gamma

azure reef
#

it is lambda btw

#

supposed to be huh

#

$\lambda$

somber coyoteBOT
nocturne thorn
ripe dove
#

The little purple ones in the pic look like gammas

#

That is false

azure reef
#

where did yo get 30 and 60?

ripe dove
#

Unless there is supposed to be a variable somewhere

azure reef
#

alpha was 65, no?

#

and beta 25

upper karma
#

he changed it

#

or his teacher did

nocturne thorn
#

to find that line

#

yeah, i changed it

azure reef
#

wait but if you changed it makes the whole thing easier

upper karma
#

yes, it's called the law of sines

#

it does, yes

nocturne thorn
#

does it?

upper karma
#

because 30-60-90 triangles have the shortest leg half of the hypothenuse

azure reef
#

i mean sin30 and sin60 are table ones

upper karma
#

but that still don't help you get sides a and/or b

azure reef
#

and yes ^

nocturne thorn
#

i hate math now

upper karma
#

this problem is flawed

#

or it is missing information

azure reef
#

btw, angle ACB should be quite small since it is anyway smaller than 30

little osprey
#

I like how the building is irrelevant to the question but they decided to add it there

azure reef
#

i firslty tried to understand what building is about

nocturne thorn
#

xD

azure reef
#

we are given its height but there is no connection

#

can you btw send original task?

upper karma
#

yeah, post a pic of the problem

little osprey
#

^

nocturne thorn
#

i'll find it, give me a sec

little osprey
#

IB šŸ˜‚

#

What math are you in

nocturne thorn
#

I'm in Algebra 2 w/ Trig, starting the IB next year

little osprey
#

Oh youre just like me then, taking AA HL?

nocturne thorn
#

i'm taking AA HL next year

little osprey
#

Good luck

nocturne thorn
#

xD

little osprey
#

We'll be on the same playing field

azure reef
#

wait but it does not look like there is an angle between your head and roof

nocturne thorn
#

i guess, but it's a bit above my head

#

This exercise is so annoying

azure reef
#

wait wait looks like your picture was a bit wrong

little osprey
#

oof

#

I dont know what though

ripe dove
#

Side AB appears to be the bottom edge of a quadrilateral not a triangle for one thing

upper karma
#

^there's that

nocturne thorn
#

I just created a point C

upper karma
#

and you're trying to establish the distances between you and those points? from a 2D image?

ocean axle
#

Consider all isosceles trapezoid in which we can inscribe a circle.
Restrictions are: sum of longer base and height of this trapezoid is equal to 2 (i.e. a+h = 2)

What are all values of a with those restrictions? That is, figure out all values of a.

little osprey
#

Taken @ocean axle

ripe dove
#

@upper karma no, the assignment says how would they do it without leaving their house

#

They have access to 3D

nocturne thorn
#

I will probabaly just make up angles

#

from the picture to the points A / B

ripe dove
#

You have no guarantee that the quadrilateral lends itself to an isosceles triangle

nocturne thorn
#

"Actual measurements are not necessary" - i think i'm allowed to assume that it's the case here

#

cuz it looks like an isosceles triangle

upper karma
#

you can get the distances to those points, for sure

#

how much lateral movement do you have from your window?

#

1m wide?

nocturne thorn
#

1 meter

ripe dove
#

That looks nothing like an isosceles triangle to me

#

The other face of that roof, yes. But not that one

#

That one looks an awful lot like you could make it a right triangle with your imaginary point c though

azure reef
#

lol now imagine how it was for ancient greeks who didnt have disc

ripe dove
#

Also, spitballing here, since you can assume line AB is horizontal is there a way to use the apparent difference of the angle from you to each of them to determine that length?

nocturne thorn
#

I can use a homemade clinometer, but I just randomly picked the angles that looked like they were correct

ripe dove
#

Well, you are supposed to ā€œdescribe the processā€ not just get some answer

upper karma
#

this is how you get the distance to point A

#

same with point B

#

then you form a triangle

#

and you get the distance between them

#

no clinometer needed

#

just lateral movement

#

(at a 90 degree angle)

nocturne thorn
#

You are the absolute best @upper karma

upper karma
#

this is similar to the ones from Khan Academy, btw

nocturne thorn
#

check your DM's please @upper karma

upper karma
#

you could also simplify it a bit

#

by moving d1 to the other side

#

using the 90 degree angle

#

remember, both points (A and B) need to have a common vertex

#

this is a top-down view, btw

#

not sure if you got that