#geometry-and-trigonometry
1 messages ยท Page 339 of 1
Ok so 24.14 is the answer?
i believe so
you shouldnt count on me to look over the rest of the statements because i haven't done geometry since freshman year
Oh ok
Ok I will
what type of quadrilateral is this?
how can i prove its classification?
im leaning towards kite because i dont think it has any parallel sides but im not 100% sure
im supposed to classify it to the best of my abilities
its a kite
only one diagonal is being bisected
if both are being bisected then its a rhombus
<@&286206848099549185>
do the binomials refer to the side lengths or the angle measures
The middle one is the average of the two others
I've got this number .707 an angle between two vectors
Im not sure how to convert it to degrees? google doesn't seem overly helpful or I just dont know how to read what im seeing

Use inverse cos
Angle between vector (1,1) and vector (1,0) ? Just look at it with your eyes
Howโd you know that
Wait I mean
๐
Sorry its hard to explain what im doing
Even harder when I dont understand so well
1,0 to 0,1 is 90 degrees right?
the issue is the number im getting out of my formula is only 60 
You donโt learn by using formulas you donโt understand
What are you confused about exactly
How to use inverse cos
I got up to
0.707
I can read an figure all that out properly
I think
Just when you say "inverse cos"
over my head sorry
0.707 isnโt an angle
FUckkkk me
Angle between vectors
?
Yeah, it gives you cosine of the angle
Why are you using online calculators to cheat yourself to an answer
When you can literally use your eyeballs to look at what the angle is
Because im trying to program it into a particle simulation
so I need to get hte forumla right
I cant tell the computer to
"just use your eyeballs"

Sounds like bullshit
Career? Howโd you make money from it
I work for a major gaming company
Ask one of your colleagues about trig functions
Inverse cosine of 0.707
I fucking hate you, but thanks for the help, deeply appreciated. But also fuck you cunt.
This convo represented in a sentence
This convo is quite funny
Gonna love it when some innocent 8th or 9th grader comes in here for help and see this
Too much toxicity.
WOW ok
Can someone help me with these 2
This isn't geometry, but I will still help you.
Do you know what growth rate/factor means?
@oak citrus not certian no
Growth rates are the percentage change in a given time period.
ok
In this case, the percentage change in this one year is 4.7%
Yep.
As for growth factor, I forget.
I think i Did i can go back to check real quick
Alright, sounds good.
Ok.
and the other i cant find but was for present time and future time
You have been given the principal which was $150 I think + 13% interest rate.
You know that the 13% is compounded annually
yes
okay
So which formula is going to be used?
and A would be 500?
Why $500?
No, A=total account balance.
ok
$150 is the Principal.
so thats what we are solving for
ok let me plug this in real quick to the equation and ill try to get back with the answer
Ok.
so that would be 12
yes
The number of times that it's compounded is once per year.
so it would be just 1
Yep.
You leave it as t
ok
You plug stuff into t when you want to solve
k
if you wanted to find the Account balance after 12 yrs, you plug in t=12
yeah
which would just leave it the same
then we would add one
which would make it 1.13/1
?
Think of t=1 as the first day in the bank.
im sorry im slow I do not understand
I am going to wash my hands give sec
k
t=2 is basically the first year in the bank.
$A=150(1+ \frac{.13}{1})^2$
Euler's Identity
?
2*1=2
Uh.
I don't remember the definition.
It's perfectly alright.
can someone help me on this question
@molten bronze have you tried anything so far?
yea, i did whats it called
alitude method
i just wanna make sure i did it correctly
Altitude method?
Sorry to bother, but
ya
i think thats geometry
and those two triangles are congruent as all 3 angles are the same
Oh wait
Congruent Triangle.
I don't think it works like that.
It may look the same, but it doesn't mean it is the same.
oh, then mb
@spark star that's geometry but this channel is occupied. Please post your question on another unoccupied channel.
@molten bronze okay just checked
Don't know what altitude method is, but 4 is correct.
Don't know what's the altitude method.
oh okay, how did u get answer :?
I may know it by another name or i may just won't know it, there are multiples approaches to a problem.
thats true
okay i have one more question
sorry, just realized im not sure if its c or d
I'm confused, didn't you solved it? If you have your method and it works you don't need to worry about anything else
i always do silly mistakes.
Scoot I helped u with that yesterday
I guess I didn't explain it too well so I could try again if u want
I help scoot with math
thats nice ๐
I dont think he understood that AAA can't be a congruency proof
You always have to have at least one side defined to be able to have a congruency proof
how would u take 236625 blocks and figure out the lengths of each edge to make a smooth rectangular prism with it
trying to do this to put 236625 into a visible comparison for some friends
prime factorization
then take any 3 combinations of them
uhuh
3 isnt 60 so no
idk you tell me
I think im right so i will write that down
just wasnt sure cause i dont know what those lines mean
the lines mean they're equal in length
https://media.discordapp.net/attachments/741228202076405761/802358546179162122/unknown.png can i get help with this one please?
these two actually
hey, I need some help. I am pretty sure that this is a simple problem, but I need help
I need to find all the unknown angles and sides
And I feel like I am doing it wrong
,rccw
@hidden fern have u learned about the 30 60 90 triangle and its set side lengths?
Well all triangles have set side lengths but 30 60 90s have easy ones
How is just y 12 cm
Can someone recommend me a way to remember/get comfortable with double angle and half angle formulas? I'm in calc 1 and have only come across 1 problem needing it so far, but I might as well get it down
To classify a side u say both the end points of it @hidden fern
I just followed the SohCahToa video my teacher sent
?
This is the sides of a 30 60 90 if the small side is a
(Knowing this automatically will be good for trig btw)
The teacher has already set the opposite side as 6 cm
Yeah the small side is 6
So u can use this guide for that triangle to show the sides
But of course if u have to use the basic trig functions then I can help u with that too
I am confused. Cause the teacher told me to yse SohCahToa and the example he gave was the hyp was 12 cm
Use*
Yeah if XY is 6 then XZ has to be 12
Bc of 30 60 90 side lengths
YX could be anything u have to have 1 side length definite to find sin cos and tan
sin cos and tan are ratios
Which is why I am asking if it is correct. I used cos to get it
I need like a definite yes or no if it correct. So I know i am doing it right
So u said hyp = 12 was given already for this triangle?
Yes
Oh ok 30
He said that it should always be that angle when doing SohCahToa
I mean u can use any angle
Except for the right angle
But if he wants to keep u guys using the small angle then that's fine too
Just dipping ur toes in the trigonometric waters
Anyways sin 30 would be 6/XZ
And from there u can use cos or tan to find the adjacent
Hmm
That's not right
Show me the picture again so I don't have to scroll continuously
,rotate
Ahh
U gotta find x or y another way
Thats why I got it wrong
Yeah no
cos 30 is technically 6sqrt3/12 but we won't talk about that
That's something called a cotangent
Which is one of the 3 other trig functions
I am pretty sure thats not what my teacher wants
Yeah don't use it
tan^-1 is better than cot in my opinion
Anyways
I think u should use the proven side to find either x or y
So use a function that include opp
I already have y
I just used 12Cos30 and got 10.3923
Is that correct?
@wintry tundra
Hmm
So sin 30 is 6/y right
tan 30 is 6/x
So u gotta divide either sin or tan 30 by 6
wait oh u found y
My b
so cos 30 would be x/12
So yeah 12cos30
Yeah np
It was my mistake doing Cos with Adj/opp
Ur gonna LOVE trig if u like this kind of stuff
I was just confused
@wintry tundra do I round up or round down 10.3923? Or keep it as is
Or to the 10th decimal
Welcome
Ok, the next question has me confused because its a word problem.
Ok show it
U should draw a picture
A right triangle?
And show me the picture so I can check it
Well just draw someone flying a kite at 72 degrees in relation to the ground
Also it says the kite string is 200 m
Did I put the angle in the right place?
Yeah
Realistically the other angle would be 72 but who cares
And I just SohCahToa it
Mhm
Thank you, I'll solve this real quock
Nice
You said that realistically the other angle should be 72 degrees
Should I move it to A?
@wintry tundra
It doesn't matter
It's the math that counts not the picture
One of the worst things u can do in geometry or trig is "they look blank so they are blank"
But it would be better if I did have A as 72 degrees right?
thats right @hidden fern
Thank you
@wintry tundra quick question
Should I use a right triangle for these questions?
I already did number 7 but I just need to double check
well do non-right triangles have hypotenuses?
Are the other triangle shapes use the same stuff as just a Right triangle?
And no I believe non triangles don't have hypotenuses
other triangles cant use sin cos or tan without being split into right triangles @hidden fern
@wintry tundra my hw is just graded like a test, ya know? Please? Yeah you get it.
Honestly trig feels like it's more about circles than triangles...
it is
well, it's mostly about angles.. circles just encompass any possible angle
Circles are sorta dope for trig
im having a bit of a hard time graphing $y= \cos(\frac{\pi}{12}x) + 6$
hiidostuff
<@&286206848099549185> could u help me?
^use desmos to clarify. We know the amplitude is 1 and the period is usually 2(pi)/b and is shifted 6 up. Therefore, the period is 24 and if it is shifted 6 up you have to remember that a cos graph behaves differently from a sin graph, so because its amplitude is one it will start at 7
the issue is the graph i use goes from -9 to 9\
so idk a point that has an integer y
thats from -9 to 9
You can usually plug these values in a calculator for x. Are you doing that in math currently. There are ways to manipilate this equation to find exact values of x
One sec
Are you trying to find the values of y where x is -9 and 9?
no
im saying the range given is from -9 to 9
so i can only plot points at x= -9 to 9 and same for y
I need help that should be easy like i kinda just starter this
If the area of a polygone unknown is 135 cm2 and one of the side is 5~ and that the apothem is 4.5, how many side does it have? With solving if possible
<@&286206848099549185>
how do Trirectangular tetrahedrons and Orthocentric tetrahedrons differ? is one a subset of the other?
hiidostuff
โamonov
So how am I meant to solve for x if I get 2 solutions for x
๐ค
oh nevermind the question acknowledges there are multiple solutions i just didn't read it properly
you're missing 2 soultions
yeah i know
but i wanted to ask here first before i apply the periodicity
because i wasn't sure if i was meant to have 2 solutions in the first place
i.e. x_1 and x_2
but yeah the questions does say solutions and i just misread
similar principles for all these types of problems
doubt there's any issue with quadratics/polynomials etc
(having multiple solutions/ possible values of x)
yeah i did recognise it was a quadratic so it could have multiple solutions, which is why i was confused the question only asked for 1 solution but i did misread it
how do i solve for x
well u should use some geometry techniques
if its for school, think about what u learned that day
@wintry tundra i did
and guess what
nothing like it is on there
it's a pythagorean theorem problem
but theres not enough information to solve for x
x could be many numbers
it can be solved but not with pythagorean theorem
but I think it still uses it, just needs something else first
nvm for x is just one theorem
can you try to solve it
I know what it is but I want you to try to look for whatever they have teached you at school
what theorems have you seen about triangles
I'm pretty sure there's a nice visual proof of how the theorem for this kind of exercises works but I forgot it
they should have showned you the formula for the theorem at least
a theorem in which a right triangle is split into two from the proyection of the right angle
like the one in the problem
euclid theorem
never heard of it
oh
look it up, it's not that hard to apply
you just need to use one of the formulas of the theorem
could you do it?
You can do it with pythag
oh
can someone help me w a geometric proof

Ok.
Can you take a screenshot?
ugh no there isnt
its ok, im trying to help my friend w her math hw but i took geometry a year ago so i dont remember everything
the website is multiple choice so it wont plug in the answer ik to be right, but im sure its right?
anyways thanks for trying i appreiciate
Sorry I couldnโt help.
nono its ok!!!
In the Alternate Cosine Formula: Cos A = (b^2 + c^2 - a^) / 2bc
Is the one opposite to the given angle a
What are you asking exactly?
Find an equation that represents the area of a circle of radius a, minus the blue section (theta=120 degrees) as shown in the figure. I'm completely stumped on how to start, I'm not seeing it.
What have you tried
Yep
@rugged flint @silk patio ok so i had another teacher explain it
and it was real easy
my teacher didnt even interpret anything she just showed her way of doing it
which provided nearly no proper explanation
omfg
what theorem or method did she use? just the pythagorean theorem?
dude she didnt even use an established method
oh
she just used her pencil and traced the triangles to figure out stuff
which doesnt make any sense
she ignored all of the explanations in the text and said she doesnt like words
she just likes numbers
what do you think was the result
nobody knew wtf was going on
the teacher didnt even explain what a "geometric mean" was
she was just like "ugh too wordy"
then the homework she gave us
not even made by her
featured tons of work that she didnt even explain
thank goodness she uploaded a video of the other teacher with her lesson or i surely wouldve failed the homework
i've never seen a math teacher like this one
well just in case one side of the hypotenuse times the other side equals the height squared
yes i know
i watched the video and it told me about it
thanks anyways
@rugged flint i passively asked her to upload every video from now on of the other teacher
just to "clarify things"
you'll probably will have to do it many times
that's the teacher i was looking for
like actively looking info for yourself
kinda counterintuitive
i have no idea what in her mind told her it was a good idea to do that
but did you actually see euclid's theorem in class?
oh
She didnt even mention it bro
and that's how it was done right?
imagine the other kids
blindly following the teacher
and then they see the homework
and look for complementing your knowledge elsewhere
it has happened to me many times that just seeing a video or something about a subject that it finally "clicks" on me
works gonna be harder, but hopefully the explanations will be much clearer
which is exactly what I need
and some teachers are like
they know what they have to teach about but they're not teachers
just studied something of which they're teaching about
it tends to happen
they know about it but don't have that good of a teaching skill
well the purpose is to feed the information to you
in uni the goal is to have you be fully independent
some read powerpoints while others literally proof from scratch
yeah proving from scratch
my type of teacher
cant wait till i get to uni bro
i just want to escape this fuckin system
never has been g
but you're on good tracks with the mentality
and knowing you need to look for things
because most of it isn't served on a plate
yeah
welp, gotta go
what
eh, idk how that works but it seems fine
in my country it doesn't work that way I think
nah but you look like you can
or at least seem like with the interest
of looking more into it
that's important
i just wanna be involved with aeronautics bro
been a childhood dream
i cant help but marvel at airplanes
like holy shit
look at it
you can't just learn a^2+b^2=c^2 from memory and leave it there
as an example
well good luck on that
thanks
pursue it
im gonna need it
if you want it go for it and don't let anyone tell you otherwise
it's your choice
ok gtg
nobody can lol
yep
yeah cya
gn
either make sure ur using radians
or draw a unit circle
and plot an angle that roughly gives 0.1 for cos
then add pi radians to it and draw the next angle
make a conclusion from that
Pardon
This isnโt geometry
Its trig
No itโs not
Dude then its what??
What do you think trig is?
Not all algebra is trig
No
Then where should I chat?
Algebra
What type
pre-algebra
Itโs prealgebra-algebra
Iโm not an admin
Well someone did
Paranoid
nah itโs always been Prealg-algebra
it would be goofy for the most dedicated mathematics disc to not have a general algebra channel lol
Can anybody explain to me how to do this? Iโm lost and canโt find any similar examples online (i missed the lesson covering this at school due to some covid issues)
Itโs the one where the angle at the centre is twice the angle at the edge
yes yes because the angle is sitting on the circle but i do not know the actual process for solving for x in this situation
You get an equation using the angle at the centre is twice angle at edge and then you solve for x
i donโt quite get what you mean by angle at the center? I thought an angle sitting on the edge was half of the arc length or so
Circumference formula derives from radians to degrees conversion right
Or is related to I should say
whenever you're dealing with distance and angles, you want to use radians
so the circumference formula uses radians
did you really see the giant [AWAY] next to my name & then ping me anyway?
can you tell me if it's sss
i don't know what the problem asks you to do, so no.
it
but also, you need to realize you're just not supposed to ping specific people for help.
if nobody arrives within 15 minutes, you can tag the helpers role.
hold on i'll send you screen shot
there it is
I joined to ask a question, but found gold happening right before my eyes instead.
what?
what do you mean
lmao
what would be the answer i think it is sss
moo, can you tell me what "HL" is supposed to stand for?
Where's the early university geometry channel?
you can go here or in a questions channel
Can you use angle angle here?
Yeah, I think so.
These are similar triangles.
The side lengths aren't the same, but the angles are.
@neon hamlet
alright thanks
No problem.
Draw a diagram and send here pls
do you have a calculator?
Oh crap
and something seems wrong
yeah you will negative won't you?
yeah
mm
I mean
The way my teacher teaches is confusing
So like, the formula here, iirc is c^2 = a^2 +b^2 - 2abcos(theta) where theta is the angle between a and b
c = x here btw
So like x^2 = 900^2 + 1100^2 -2(900*1100) * cos(160)
Ah
Hm
This became exponentially harder
pun not intended
yeah this is not a great problem to use pythag. I mean, there's a solution, but it's a 7 lines - page long depending on how many steps you skip
My advice would be to drop a perpendicular from the 160 angle @hidden fern
And then just spam pythagorean theorem until you get a definite answer lol
Just ping me when you get stuck
@patent plume should I be using Tan to find the perpendicular angle?
You did tan(40) = 14/x correct?
rip ok let's see if we can make some progress here
yes
uh can you use one of the question channels pls?
mm then you made an error with computation
Alright can you show me the diagram where you dropped the perpendicular?
the angle?
@obtuse tapir pls move to q9 thx
Oh I should have been specific sorry bout that. Basically, draw a line from the starting point to the line you have marked as AB such that it forms a 90 degree angle with AB
Somethign like htis
Do you know what angle of elevation is?
wdym?
@hidden fern it's just a line dropped down from the first point. There's literally no other way to solve using pythagoras
yeah i
thats the angle of elevation
Wait what
what
im lost
ok
tan(44)=x/22
I need like a second opinion on how to solve my problem. Horny can you help me?
๐ณ
so it is 21.2
this was the question
I cant see them
I used cosine when cosine shouldn't be used, so ignore that
I need to find x and I have been stuck for almost 2 hours
@obtuse tapir
trying to do it
@obtuse tapir you aren't allowed to use cosine rule, and must use pythagoras, and are not allowed to construct extra lines
wait what
I don't even know if only pythagoras can be used
cause the last assignment had a similar question and Cosine worked fine
it wasn't
Idk, my teacher is confusing
can you please send me the other one?
its with my teacher
But when I used cosine
Or you'll have to drop a perpendicular
it was -
Again, you can't use cosine in that sense lol
my teacher has never taught dropping a perpendicular
That rule for cosine only works for 90 degree triangles
so I will assume that is not allowed
The rule for cosine for a non right triangle is posted above
Math is math @hidden fern
May I please have the other question where you used cosine and it wasn't a right triangle?
And how you solved it?
Its all with my teacher. We don't keep our assignments
bruh wtf is this
I know
But the teacher didn't teach that, pretty sure he will be like, wtf
๐ญ
how do you calculate the slope of a line in 3D?
good question
there is no such thing as "slope"
Euler's Identity
@patent plume
I solved it
Used law of cosines
4 hours of being an idiot XD
felt stupid af after solving
A trig word problem is giving me trouble...
I know the midline is 10.5
And I think the Amp is -7.5
And idk what the period or the horiz translation is
anyone that can help me ?
the triangle ABC is isosceles
and we gotta prove that the angle C1 is the angle A/2
Is this for a test?
homework
tried 2x-10=16
alright i see where you got that but actually it turns out 16 is the length of the ENTIRE side not the portion you are trying to find
It should be (2x-10) = 16 - 10
because you are looking strictly for the portion 2x-10
still got some time left @west basin ?
welll
@hidden fern Rip I told you law of cosines at the beginning........
<@&286206848099549185>
anyone taking psat today
SPQR
?
Who understand lesson 3.1-3.4 in honors geometry
just wondering if any of these are wrong, no this isnt a test, my teacher grades hw on accuracy
These things aren't standardized like that lol
I you give more information on what it covers than someone can help you.
anyone know how to do this?
apply bisection theorems and pythagoras
Yup
I got it confused with regular cosine
sorry
Can you help me ?
With some entry level trig
I got this so far
<@&286206848099549185>
Did you just put an equality sign under the root
now isolate the x
So divide 18 by the square root of 2
yep
but then you have a fraction wherre the dinomonator is a square root
that does not work
then rationalize
do you know how?
$x=\frac{18}{\sqrt{2}} = \frac{18}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}} = \frac{18\sqrt{2}}{2}$
maximo
$x=9\sqrt{2}$
maximo
be nice to ur brain
$x=/frac{18/sqrt{2}{/sqrt{2}$
$ at the end
How do you make it work ?
and you're missing a } at the end
$x=/frac{18/sqrt{2}{/sqrt{2}$
Skyler
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
Skyler
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
$x=\frac{18\sqrt{2}}{\sqrt{2}}$
maximo
you can't simply rationalize by multiplying by $\sqrt{2}$ because it makes it a different value
maximo
we can multiply by $\frac{\sqrt{2}}{\sqrt{2}}$ because $\frac{\sqrt{2}}{\sqrt{2}} = 1$
maximo
maximo
so the left stays the same, and the right we can treat as root2/root2
does that make sense
hm not sure how
Skyler
how'd you get to that?
How do i type this on a calculator

