#geometry-and-trigonometry

1 messages ยท Page 165 of 1

copper valve
#

oh ok

#

IM SO EXCITED

#

!!!

#

for you to get to more interesting uni math :0

robust socket
#

both ABC and ACD are isosceles

#

does anyone have a clue about this?

whole forge
#

I suck at my classes :(

rugged moat
#

If tanA = a/b, What is the value of sinA/cos^8A +cosA/sin^8A

#

Me too

whole forge
#

Does anyone knows a chemistry server? Sorry to use this channle but general seems busy rn

rugged moat
#

and scroll a little

whole forge
#

Chemical science is chemistry?

rugged moat
#

I think so

whole forge
#

I didnt wanted to paste the whole thing sorry

#

I deleted it

#

Okay. Thx

rugged moat
#

In a parallelogram, prove that the sum of the squares of the diagonals is equal to the sum of the squares of the sides.

#

In this I was able to prove it, if the parallelogram was a rhombus

#

But I can't do it with it being a parallogram

mossy vine
#

cosine rule and cos (180-x) = -cos (x)

#

similar to the proof of apollonius' theorem

valid aurora
#

ive tried many methods

#

but i can't seem to get it

#

i think i have to subsitute somehow

neon fossil
#

find one in terms of the other using one equation

#

then substitute in the other equation

valid aurora
#

it always becomes and uneven number

neon fossil
#

it doesn't

valid aurora
#

ive gotten this

#

17(25-2y)-y=40

neon fossil
#

go on

valid aurora
#

i don't know where to go from there

neon fossil
#

what do you mean?

#

open up the expression

valid aurora
#

when i try to go futher it goes to, 425(-2y)-y=40

neon fossil
#

you didn't multiply correctly

#

a(b+c) = ab + ac

valid aurora
#

oh yea

#

k

#

yay

#

i got y=11

#

thank you so much i completely forgot that's how you are supposed to do it

neon fossil
#

๐Ÿ‘

sudden stream
#

If mโˆ GHJ = 90 and mโˆ GKJ = 110, find mโˆ HGK.

#

<@&286206848099549185>

cyan sonnet
#

80

sudden stream
#

@cyan sonnet how

#

I have one more related to that kite if you could assist with that as well cause i'm... dumb!

#

If RJ = 3 and RK = 10, find JK.

Answer is the square root of which number?

#

is it

#

100+9

#

sqrt 109?

#

cause pythagorean idk to spell

cyan sonnet
#

yeah, sqrt 109

sudden stream
#

explain first one?

cyan sonnet
#

well, it's a quadrilateral so mGHJ, mGKJ, mHGK, and mHJK add up to 360 degrees

sudden stream
#

ooo

#

so 90+110

#

= 200

#

then

#

160/2

#

= 80

#

i see

cyan sonnet
#

pretty much

sudden stream
#

@cyan sonnet since you're here

cyan sonnet
#

you can also see that GHJ forms an isoceles triangle

sudden stream
#

woops

#

wrong one

#

is it trapezoid or icsoceles?

cyan sonnet
#

I'm not anywhere where I could graph and answer that right now

#

but you can graph it (or just imagine it in your head if you can), and calculate the lengths of the sides

#

which will help you with that

sudden stream
#

ty

cyan sonnet
#

np

#

so yeah, you can just use the distance formula to calculate the side lengths sqrt((x_0 - x_1)^2 + (y_0 - y_1)^2)

sudden stream
#

kk

#

sorry for making u do my homework

upper karma
#

find ky

#

do times 2

#

do the pythagorean theorem @sudden stream

sudden stream
#

@upper karma i'm dumb pls help l ma o

#

what numbers do i use for pythagorean theoem

#

it's not a right triangle

#

oh

#

nvm

#

it is

#

LOL

upper karma
#

does noot have to be

#

4 right traingles i see

sudden stream
#

same

upper karma
#

ok ill solve it if you want?

sudden stream
#

@upper karma could you explain it to me? i'm a bit stupid ;-;

#

yes please

upper karma
#

Ankatic you are not stupid

#

and did you learn the theorem

sudden stream
#

i mean

#

i knwo the theorem

#

just not what to put into it

#

my teacher isn't the best

#

you know how thatis

upper karma
#

i just wanted to know because i dont wanna apply something you never seen

sudden stream
#

ik it

#

a^2+b^2=c^2

upper karma
#

yes

#

you use that for right triangles

#

Only

sudden stream
#

yea

upper karma
#

nothing else

sudden stream
#

oki

#

lemme know once u got the answer. tysm again

upper karma
#

So RK which is the opposite side is = 5 and RY which is the hypotneus is 13

#

@sudden stream

sudden stream
#

Back

upper karma
#

so let us replace

sudden stream
#

ok

upper karma
#

C^2 = A^2+B^2

#

13^2=5^2+B

sudden stream
#

5^2+13^2

#

o

upper karma
#

2?

#

we are finding b

#

lol

sudden stream
#

yea

upper karma
#

I like your passion kid

#

Ok so let us isolate B

sudden stream
#

144

upper karma
#

nice

sudden stream
#

lel

#

how old r u btw

#

if you feel comfortable answering

#

@upper karma SO answer is 144?

upper karma
#

square root

#

it

#

12

sudden stream
#

o

#

ty

#

i wish i had a better teacher tbh

#

she gives us assignments sometimes

#

of stuff she didn't teach

upper karma
#

so basically the triangle of KY is 12 do 12x2 because you got half of the triangle and that is the value of the triangle which is 24

sudden stream
#

so PK though is

#

12

#

right

#

cause PK = KY

#

k is midpoint

upper karma
#

Yup

#

think of it as a radius

sudden stream
#

ye

#

anyways

#

ty

upper karma
#

anytime

sudden stream
#

i have one more but i'm not gonna ask it cause i dont wanna seem more supid l0l

#

unless u wanna help

#

@upper karma u fine with helping?

#

on one last?

upper karma
#

Lol ok

sudden stream
#

k

upper karma
#

ill help

sudden stream
#

ty

#

lemme screenshot

#

got it

#

it's 17.5

#

lol

upper karma
#

Dang you were fast

sudden stream
#

ty haha xD

upper karma
#

you will make a fine mathimatician

sudden stream
#

lmao

upper karma
#

stay in school kid

sudden stream
#

i love school

upper karma
#

good job

sudden stream
#

@upper karma AYEEE WE DID IT 12/12

#

gj! ty

upper karma
#

NP

sudden stream
#

Can somebody here online help me with this question? I got it right because of my friend, but I wanna know how to solve it.

Quadrilateral ABCD is a rhombus. Point E is the place where the diagonals bisect each other.

If mโˆ CDB = 6y and mโˆ ACB = 2y + 10, find y.

#

<@&286206848099549185>

neon fossil
#

draw it

sudden stream
#

I have this

#

But I don't really know how to solve it.

#

@neon fossil

neon fossil
#

tag the angles

sudden stream
#

?

neon fossil
#

cdb is 6y

sudden stream
#

yes

neon fossil
#

tag it

#

and the similar angles as well

sudden stream
#

ok

neon fossil
#

same for acb and the similar angles

sudden stream
#

Ok like this,

#

See the little "6y's"

#

o i did it wrong

#

woops one sec

neon fossil
#

i cant read what you wrote lol

#

but yeah

#

do the same for acb

sudden stream
#

@neon fossil this will help

#

now what do I do?

neon fossil
#

yeah

#

so now what can yo udo?

#

to find y?

sudden stream
#

um

#

pythagorean theorem??

neon fossil
#

how

sudden stream
#

i dunno

neon fossil
#

you only have angles

sudden stream
#

its a right triangle

#

what would u do in this case next?

neon fossil
#

oh, well

sudden stream
#

my teacher didn't teach this AT all

neon fossil
#

you could use that too yeah

#

since it's a right triangle

#

that's 90

sudden stream
#

yes

#

but what would you do

neon fossil
#

I'm helping you solve it

#

you know all the angles now

runic jackal
#

2y+10ยฐ + 6y = 90ยฐ

sudden stream
#

ty

#

@neon fossil @runic jackal both so helpful. thanks!

atomic knot
#

Hmm

eager pendant
#

Straight lines AD and BE pass through point P of median CF in triangle ABC, where D and E lie on BC and AC respectively. Prove that AB is parallel to DE.

#

i can use ceva's theorem to get that BD*CE=DC*AE but that doesnt seem to help

#

and i cant find any similar triangles either

eager pendant
#

<@&286206848099549185>

upper karma
#

@sudden stream Ankatic To use the pythagorean theorem you need to have the numbers outside the triangle

#

only apply for these types of triangles

#

and if the questions is to calculate outside the triangles then all angles equal to 180 you alredy have the answer which is that little square on that triangle that = 90 degrees

lethal silo
#

๐Ÿ™„

celest swan
#

What is the equation defining a torus?

celest swan
#

Hi?

charred spearBOT
celest swan
#

:think:

#

I meant more like something that would look like

#

$$1=x^2/a+y^2/b+z^2/c$$

charred spearBOT
celest swan
#

Or somfin like dat

sick socket
#

Sorry I cant print screen. The test locks down my computer

#

I'm completely lost here

#

I know b ~= b is the reflexive property

#

But then which AA similarity are they talking about?

neon fossil
#

did you just say "sorry this is the only way I can cheat, please help"?

sick socket
#

I'm not trying to cheat.

neon fossil
#

isn't this a test

sick socket
#

I already submitted my answer

#

I'm just pretty sure it's wrong

#

I just need help with an example question

neon fossil
#

so you want to... cheat?

sick socket
#

No. I can't resubmit it

neon fossil
#

I dunno it says attempt 2

#

I can help you with it later

sick socket
#

My teacher only looks at the first test

gritty flare
#

you want to prove pythagorean theorem?

sick socket
#

Yes

neon fossil
#

lol

#

is there a policy about timed tests?

gritty flare
#

o.o

#

you draw a square of area C

#

๐Ÿ˜„

#

and then draw right triangles

sick socket
#

I know how to proove it on my own

gritty flare
#

then?

#

๐Ÿ˜

sick socket
#

but I have to complete their proofs

gritty flare
#

oh

#

what kind of ish is that

hazy field
#

@sick socket is that timed?

sick socket
#

No

hazy field
#

it's a test tho right

gritty flare
#

Rixor what kind of ish is that

#

how do you complete their proofs?

sick socket
#

These are their proofs

#

There's a few blanks

#

I know it's pretty BS

gritty flare
#

HOLY SHIT THEY HATE YOU

#

ill try to prove by #3

#

it seems easy

sick socket
#

Thankfully it's teacher graded as opposed to computer graded

gritty flare
#

so do you want me to prove #3?

sick socket
#

So it won't do shit like take off points for ordering my perentheses wrong

#

Yeah

gritty flare
#

ordid you prove it

#

ok ill go ahead now ๐Ÿ˜„

sick socket
#

My answer was the division property

gritty flare
#

ok i proved it

#

:/

#

its like 1 from thousands

#

q*q

#

now how can i send

#

:/

#

proof for #3

sick socket
#

There's no numbers here

gritty flare
#

let me help in this one pls

sick socket
#

Also like I said, I can't resubmit it for any credit. So it's not cheating. I just want to know what I did wrong if anything.

gritty flare
#

how can i sendd

#

q-q

#

ok ill do it in your triangle

#

rixor send your triangle again pls

gritty flare
#

omg and my notes are so good

#

:9

#

ok

#

so you see two triangles

#

and you see that there they have 2 right angles

sick socket
#

Yes

gritty flare
#

so we make property:

sick socket
#

Property?

gritty flare
#

ye

charred spearBOT
gritty flare
#

cause it is a similar triangle also: note: x + y is same as C

#

for triangle 1) x is same as a

#

and a is the hypotenuse for triangle 1

#

so property matches

#

now by that property

charred spearBOT
sick socket
#

But what is property in this context?

gritty flare
#

similarity ๐Ÿ˜„

sick socket
#

I have not heard that word at all in this course

gritty flare
#

2 similar side division

sick socket
#

Oh

gritty flare
#

its right leg divided by hypotenuse for both

#

so we know also that:

charred spearBOT
gritty flare
#

and that is:

charred spearBOT
gritty flare
#

so we have 3 informations:

charred spearBOT
gritty flare
#

now we do this:

sick socket
#

So a/x = c/a by the Hypotenuse Leg Theorum?

gritty flare
#

idk what that is

#

i just figured it

#

:/

charred spearBOT
gritty flare
#

BAM

#

๐Ÿ˜„

sick socket
#

Yeah but how did you get those numbers?

#

That's what i'm trying to figure out

gritty flare
#

oh thats why i was trying to send my picture it

#

๐Ÿ˜ฆ

#

imagine 2 triangles

sick socket
#

Not how to get from point A to point B but what each step in doing so is called

gritty flare
#

one has x for right leg; a for hypotenuse and h for base

#

you use triangle similarity:(

#

ok ill post latex by steps

sick socket
#

It's a/x = a/c not that

gritty flare
sick socket
#

According to the test anyway

gritty flare
#

NO NO NO

#

x/a is a/c

#

Im sure i did everything correct

sick socket
gritty flare
#

ye

#

same

#

that is just hypotenuse devided by right leg

#

๐Ÿ˜„

#

its just my thing turned around

sick socket
#

Which is called what?

#

The HL postulate?

gritty flare
#

idk

#

ask others

#

:/

#

@copper valve W- ๐Ÿฅ– help pls q-q

copper valve
#

hi

gritty flare
#

what is that

#

HL Postulate

copper valve
#

no idea

gritty flare
#

< has no idea what he is doing

whole forge
#

I have no idea how to do this thing

neon fossil
#

you're being asked, in both cases, to approximate functions of the form arcsin(a)

#

which method have you seen to do that?

whole forge
#

Cos sin tan

#

I have no clue about this tho

neon fossil
#

which method have you seen to do that in class?

#

sin(x) = a, find x

whole forge
#

Wait i just put it in the calc right

neon fossil
#

if you have a calculator, sure

whole forge
#

I downloaded wabbitemu on my phone

#

Yeah...thx

upper karma
#

Anyone understand functional values?

neon fossil
#

what's that

upper karma
#

(-5,8) f(x)-2

neon fossil
#

????

mossy vine
#

do you have a picture of the question you're trying to do?

#

or any more information to do with it

waxen gorge
upper karma
#

Tex the farmer tethers a cow by a piece of rope 50 meters long. The rope is fastened to a hook on a barn that is 10 meters from the corner of the longest side( and on the longest side ) of a barn measuring 60 meters by 30 meters. Over how much ground can the cow graze?

#

I need help with this problem

outer grove
#

Tex

upper karma
#

yeah

#

his name

#

๐Ÿค”

#

wew

copper valve
#

have u tried drawing a picture

upper karma
#

idk how to draw the pic lol

copper valve
#

i have access to a chalkboard now

#

i can try drawing it

upper karma
#

ok

copper valve
#

forgive my poor artistic ability

upper karma
#

np

#

ah

#

is the area that I need to find the one inside that rectangle

#

like that part of the circle

copper valve
#

not quite

upper karma
#

i have mistranslated it and thought the cow was hanging on the rope on a barn thats 60m high and she is now hovering above the ground

runic jackal
#

hmm

upper karma
#

lol

copper valve
#

the cow can't graze in the barn

#

(i think)

#

cow only grazes outside the barn

upper karma
#

from what it looks like, graze means eat fresh grass

#

(and not levitate what i thought it means before, for some reason)

copper valve
#

if the barn wasn't there, the cow would have the whole circle to graze on

upper karma
#

oh

copper valve
#

but the barn is in the way

waxen gorge
#

@copper valve chalkboard! Such ancient technology >_>

copper valve
#

chalkboard is the past and the future

#

and the present by intermediate value theorem

waxen gorge
#

xD

upper karma
#

aye so you just take the content of the circle minus the area taken by the barn that is a rectangle

copper valve
#

not quite!

#

closer though

upper karma
#

within the circle only ofc

copper valve
#

the cow is attached to some sort of rope

upper karma
#

yeah

copper valve
#

and assuming the barn has walls

#

can't just go through the barn to the other side

#

has to go around the walls

#

so really we'll have a shape sort of like...

#

lemme draw it

upper karma
#

this, tadah

runic jackal
#

owo

upper karma
#

eh pretty much gives the idea

copper valve
#

nope

waxen gorge
#

Woa such great artistic skill

#

t!rep @upper karma

loud cedarBOT
#

๐Ÿ†™ | deadontheinside has given @upper karma a reputation point!

runic jackal
#

oh yeah its not that area

upper karma
#

confoosed

#

lmao

runic jackal
#

oh its a rope 50m

upper karma
#

so it is that area

copper valve
runic jackal
#

reposting question

#

dex the farmer tethers a cow by a piece of rope 50 meters long. The rope is fastened to a hook on a barn that is 10 meters from the corner of the longest side( and on the longest side ) of a barn measuring 60 meters by 30 meters. Over how much ground can the cow graze?

upper karma
#

wait what

#

are you sure that part there aint involved @copper valve ?

#

i mean practically not but

copper valve
#

ya cause the rope's not long enough

upper karma
#

its not supposed to be that hard of a math problem

#

no ?

#

unless skarz' teacher is pretty hardcore

#

wouldnt want that teacher i tell ya

copper valve
#

well it's gonna use some Pythagorean theorem

upper karma
#

he's hardcore

#

okay so that part is involved

#

I have 4 problems like this to do

#

and it's due tommorow

#

:/

#

i know ya feel

#

also got stuff due tommorow

copper valve
#

basically since you can't go through the barn, u have to go around the walls

runic jackal
#

isnt it um sum of lots of quadrants

upper karma
#

hm

#

hulk cow can crush through the walls

#

draw it some muscles and the second part of the math problem is gone

#

.

#

thonker sorry dude german humor, would work on the teachers here

copper valve
runic jackal
#

but there is no grass inside the barn yo

copper valve
#

hยฒ=10ยฒ+30ยฒ=1000

#

h=10โˆš10

#

then the radius of the arc at the top will be 50-h = 50-10โˆš10

#

since the barn is rectangular, those two angles will be equal

#

so the arc angle will be arctan(30/10)

upper karma
#

idk how to do tan

#

:/

copper valve
#

have i overcomplicated this

upper karma
#

yee i knew it, that part wont be necessary

copper valve
#

@runic jackal it's not quadrants cause the top arc won't be 90ยฐ angle

#

since the cow is posted 10m from the barn

#

not directlyโ€‹ on the corner of the barn

#

hmmm

#

oh

#

no we still need the angle tho

runic jackal
#

oh yeah

#

not like this

copper valve
#

@tropic stirrup is there a way to do this cow problem without trig

upper karma
#

๐Ÿค”

copper valve
#

there might be a way to do this slightly simpler but it should still involve some trig

#

I got

#

$$A_g=(\pi - \frac{\theta}{2})\cdot (50)^2 + \frac{\theta}{2}(50-10\sqrt{10})^2$$

#

where $$\theta=\arctan({\frac{30}{10}})$$

charred spearBOT
upper karma
#

no worries

#

I got the answer

#

Thanks for helping though

copper valve
#

what did u get?

tropic stirrup
#

@copper valve yes it is

#

Cause you drew the diagram wrong

#

:p

copper valve
#

w o t

#

dang

waxen gorge
#

Lol

copper valve
#

@tropic stirrup what's it supposed to look like

tropic stirrup
#

Eh hold on lemme draw

copper valve
#

oke

tropic stirrup
#

"The rope is fasted to a hook ... 10 meters from the corner[vertex] and on the longest side"

#

This is very vague

#

Usually in geometry side is restricted to a line segment

copper valve
#

oh

runic jackal
#

owo sum of quads

copper valve
#

ya for some reason i thought "on the longest side" meant to extend the line

#

so the hook would be on the extended line

#

thank you @tropic stirrup

tropic stirrup
#

Thonkery

#

No problemo

tawny pewter
#

how

#

doez

#

whats a line ratio 3:1

upper sedge
#

That could describe a few things. Can you provide more context?

tawny pewter
#

im working on khan acadamey

#

idk how to do this

#

the videos doing jack

upper sedge
#

Alright.

#

So, think of it this way. If A,B, and C are collinear, then they're on the same line.

tawny pewter
#

yea

upper sedge
#

Awesome.

#

So the ratio tells you that the distance between B and C is twice as long as the distance between A and B. Still good?

tawny pewter
#

yea

upper sedge
#

Good deal. Since you have A and B, you can come up with a right triangle whose sides are $$\Delta x$$, $$\Delta y$$ and $$\sqrt{\Delta x^2+\Delta y^2}$$, right? This is $$\Delta ABD$$ where $$D$$ is the point that completes this right triangle. Does this much make sense?

charred spearBOT
tawny pewter
#

i guess

upper sedge
#

Cool. There's another triangle $$\Delta ACE$$ which is similar to the first. In order to scale $$\Delta ABD$$ up to $$\Delta ACE$$ we have to recognize that the hypotenuse of $$\Delta ACE$$ is 3 times the size of the hypotenuse of $$\Delta ABD$$ because in order to have a ratio of 1:2 on the same line, the line must be made of 3 equal segments.

charred spearBOT
upper sedge
#

Still with me?

tawny pewter
#

yea

#

oh

#

can i find the slope

#

of that one small triangle

#

then do it 3 times

#

adding

upper sedge
#

That's almost what to do. What we really want to do, though is to find $$\Delta x$$ and $$\Delta y$$ so that we can compute $$3\Delta x$$ and $$3\Delta y$$ because $$C_x = A_x+3\Delta x$$ and $$C_y = A_y+3\Delta y$$

charred spearBOT
tawny pewter
#

ok

upper sedge
#

Are you alright here, or should I keep going?

tawny pewter
#

idk

upper sedge
#

Give it a shot from here, and then come back. ^^

#

Remember to draw pictures! They help a lot.

tawny pewter
#

ok

#

-8,5

#

i got it

upper sedge
#

Excellent!

#

=D

tawny pewter
#

im stuck on this one now

#

5,-7

runic jackal
#

the horizontal component of AC is -15 units

copper valve
#

๐Ÿฑ

runic jackal
#

so that of AB is -3 units

#

the vertical component of AC is 5 units so that of AB is 1

#

idk how to explain it better

tawny pewter
#

im stuck on this one

#

i found the slope of a to b it is -6/3

neon fossil
#

try drawing it

tawny pewter
#

ok

neon fossil
#

and relate the lengths of the sides

#

(A-B)/(B-C) = 3/2

tawny pewter
#

wat

#

oh

#

idk

neon fossil
#

what dont you know

#

do you know what A-B is

tawny pewter
#

snt it the slope

#

-3,6

neon fossil
#

calculating the slope isn't a very direct way of solving it

#

A-B is (4,8)-(7,2) = (-3,6)

#

is that what you meant?

tawny pewter
#

yea

neon fossil
#

okay now what's B-C?

tawny pewter
#

no idea

neon fossil
#

whenever you get something you don't know, use variables!

#

let's say C = (x,y)

#

now what's B-C again?

tawny pewter
#

7,2-x,y

neon fossil
#

so we have

#

(-3,6)/(7-x, 2-y) = 3/2

tawny pewter
#

wat

neon fossil
#

the equation

#

(A-B) / (B-C) = 3/2

tawny pewter
#

no idea

#

oh

neon fossil
#

can you solve it from there?

tawny pewter
#

no

#

idk what to do

#

im evne more confused

#

lol

upper sedge
#

@tawny pewter Remember what we did earlier?

#

Same thing.

tawny pewter
#

no

#

;-;

upper sedge
#

Scroll up!

#

=)

tawny pewter
#

the ratio is different

#

i dont know what to do with this ratio

neon fossil
#

did you follow until (-3,6)/(7-x, 2-y) = 3/2 ?

tawny pewter
#

i cant remember that equation

neon fossil
#

read the process then

tawny pewter
#

ok

#

yea i dont understand shit

neon fossil
#

you know what A-B is

#

you know what B-C is as well

tawny pewter
#

i cant

#

adomwpodawopmfp

#

awm

neon fossil
#

and you realize that the problem is telling you that (A-B) / (B-C) = 3/2

#

you're just flustered for some reason

tawny pewter
#

i cant remmber that

#

-3,6/7x,2-y=3/2

#

i dont know how you even get to 3/2

upper sedge
#

There's another way.

#

First, 3/2 is 3:2

#

That's one thing to note.

#

To say that the ratio between $$\overline{AB}:\overline{BC}$$ is 3:2 is the same as saying that the lengths of the the lines are related like this: $$3\overline{AB}=2\overline{BC}$$. Does this make sense so far?

charred spearBOT
tawny pewter
#

i think

#

no

charred spearBOT
tawny pewter
#

yeanvm im done

upper sedge
#

Are you sure?

tawny pewter
#

i dont get it

#

[pkk

#

p[]

#

i gave up ont hat one

#

im doing this one now

#

now this one acutally makes no fucking snese

#

i drew it out

#

and gave me 2 different slopes

tawny pewter
#

uiovbhuio

celest swan
halcyon quest
#

I remember doing something like that when I was a bit younger.

waxen gorge
#

Uh

#

Did someone not post this exact thing

runic jackal
#

i saw this before

#

IKR

#

YOU WERE THERE

waxen gorge
#

1 week ago

#

Or something

#

Lol

chrome fiber
#

i remember this too lol.

upper sedge
#

How amusing.

#

Righto, so @celest swan , where are you getting stuck?

upper karma
#

wat does locus of a point mean?

runic jackal
#

the shape that is formed by possible points

#

of an equation usually

upper karma
#

so a equation that the point satisfies?

#

an*

main spire
#

I made it to what I think is halfway done with the problem but I got stuck

#

I tried making triangles out of the parts not including the inner rhombus but I still have too many variables

#

Iโ€™ll show a screenshot of my work if necessary, unless thereโ€™s no point because thereโ€™s a better method

waxen gorge
#

Hi

#

bd*ac/2 = 24
it is 60,120,60,120
therefore the inside rhombus is the same

#

Split the inside rhombus into 2 triangles

#

U get 60,60,60

#

so 2* s^2 * root3/4

#

bd*ac = 48

#

Df is scaled down 1/2

#

For each side

#

So it's db*ef = 12

#

So area is 6

#

Prob wrong

eager pendant
#

@waxen gorge i got 8

waxen gorge
#

Seems legit enough :p

eager pendant
#

idk if my reasoning is legit

#

so the smaller one has 1/3 the size of the larger?

main spire
#

How do you know the scale factor of the inner rhombus?

eager pendant
#

there's two parts inside the smaller rhombus, and 6 in the larger one?

mossy vine
#

because ABCD is a rhombus, we know that AD = AB

#

so <ABD = <ADB

#

since <BAD = 60 ADB is an equilateral triangle

#

similarly BCD is an equilateral triangle

#

you can do a load of triangle congruence stuff, turns out all those triangles drawn in are congruent, which means they have the same area

upper karma
#

if diagonals of a quadrilateral is congruent, is it enough to prove that the quadrilateral is a rectangle

celest swan
#

No

marsh crest
#

can someone help me quickly

#

how do i find X

#

I don't really understand geometric means

neon fossil
#

pythagoras theorem

#

for both the top and bottom triangles

#

you can notice that they're similar triangles too

#

that makes life easier

marsh crest
#

yeah im supposed to use like alt/side = side/alt

#

something like that idk..

neon fossil
#

yeah

#

use triangle similarity

#

between ADB and BDC

marsh crest
#

mhm how should i solve for x tho

#

i know there's this :/

neon fossil
#

these won't help

#

just apply triangle similarity

#

and fill in whatever information you get

#

try that and show me

marsh crest
#

something like this??

neon fossil
#

your similarity is a bit off

marsh crest
#

oh wait

#

yeah

neon fossil
#

it's 8/15 = x/17

#

wait no

#

what

marsh crest
#

its something else :/

#

ughhh

neon fossil
#

8/17 = x/15

#

those are the two corresponding sides

#

or like 8/x = 17/15 maybe is more clear

#

because 8 and x are the similar sides

#

and 17 and 15 too

marsh crest
#

oh that makes sense now

#

hmm so it's 120/17

#

@neon fossil

#

i have another question man im sorry xd

#

is this right xd

neon fossil
#

well x is like 5 sqrt(3)

#

but yeah

marsh crest
#

i dont think i can write that here haha xd

sick socket
#

Can someone make me an easy refrence sheet for all congruence postulates?

#

For prooving angles and shit

#

I'm talking about like, definiton of congruence and substitution property of equality and shit

reef cave
#

What you mean

#

Like SSS, ASA, SAS

sick socket
#

Yeah that too

#

The reasons for proofs

#

And examples of what they look like next to them

reef cave
#

Oh jeez

#

That's a lit

#

Lot

sick socket
#

Yeah. I would really appriciate it though.

reef cave
#

So like every thing that proves congruence

sick socket
#

The only other option is skimming through all 70 of my lessons to find them and then forget by the time the next test comes around and have to do it again

reef cave
#

Do your theorems have numbers

#

I'll work on it whenever I can

sick socket
reef cave
#

Ohh

#

I got yoy

#
  1. Reflexive
#

Ok I'll just work on it whenever I have time

#

I gtg

past mantle
#

I'm confused

#

Well, not really that confused

#

But I want to know why sin, cos, and tan are used as trig functions, as a proof

upper karma
#

How can we demonstrate that if two right segments meet in the middle then they form a parallelogram?

turbid beacon
#

can you rephrase that?

neon fossil
#

he means perpendicular

#

look at the angles liux

restive void
#

i forgot how to do this

#

<@&286206848099549185>

reef cave
#

is 7 a triangle idk how to do this

restive void
#

i dont either

#

7 would be a triangle because interior angles = 180

reef cave
#

ya

#

thats what i thought

restive void
#

idk how to do nine

reef cave
#

whats 8 just curious

restive void
#

no clue, doing odds

reef cave
#

lol

#

9

#

should ve

#

hexagon

#

nvm

#

heptagon

restive void
#

but why

#

i dont know how to do this

#

and im going to die

runic jackal
#

180(n-2) = sum of interior angles

#

n is number of sides

restive void
#

yes

#

i know that, but how do you find the number of sides

#

if im given the sum of interior angles

runic jackal
#

literally substitute values in the equation

#

180(n-2) = 540

reef cave
#

woah

#

how u get a gif for ur profile pic

tropic stirrup
#

Kek

restive void
#

nitro

tropic stirrup
#

By buying nitro

#

:o

reef cave
#

whats nitro

runic jackal
#

i took a video of my girlfriend

reef cave
#

is that like premium

#

discord

restive void
#

so for number 9, would 9 just be 5?

#

easy as that?

tropic stirrup
#

nope

restive void
#

oh my god i hate math

tropic stirrup
#

for number 8 it would be 5

#

:P

reef cave
#

how u get that equation 180(n-2)

restive void
#

number nine

reef cave
#

LOL

restive void
#

aaaaaaaaaaaaa

reef cave
#

is it 7

tropic stirrup
#

for number 9 it would be yes

restive void
#

what the fuck do i do

reef cave
#

haha i guessed

restive void
#

OH

#

i did the wrong problem

reef cave
#

i LOLOOl

#

LOLOLOL

#

wait bu how u come up with that equation 180(n-2)

restive void
#

uh

#

math

runic jackal
#

u can easily derive it

restive void
#

what do you call a 16 sided figure

#

a 16 gon

reef cave
#

lol

runic jackal
#

by slicing a polygon into triangles

#

if a square can be sliced into 2 triangles and a pentagon can be sliced into 3 triangles

#

straightaway theres a noticeable pattern u can work on with

reef cave
#

oh so u just made the equation

#

off that?

runic jackal
#

ya

reef cave
#

woah htats cool

#

btw 16 sided is

#

hexadecagon

restive void
#

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

#

okay

reef cave
#

but thats not probel,m 9 answer

#

i dont thnk

restive void
#

nope

#

its not

#

differnet one

reef cave
#

k just clarifying

restive void
#

uhhhhh

#

like i dont know what to do

reef cave
restive void
#

@runic jackal

reef cave
#

can u help me wih this one too

#

number 13

restive void
#

me first

#

:)

reef cave
#

for urs

#

isnt ur figure add up to 540

#

since its a pentagn

#

@restive void

restive void
#

idk

#

i got x = 28

reef cave
#

wait cant u just do 3x+2x+110+86+64=540

restive void
#

no

#

i dont htink so

#

i did the sum of all interior angles = 180(n)

#

it sounds right

#

so i did it

reef cave
#

lol

#

i got 56 xD

restive void
#

OKAY WHAT THE FUCK IS THIS

reef cave
#

ur prob right

#

lol jeez

#

thats

restive void
#

i quit math

#

forever

reef cave
#

confusing

restive void
reef cave
#

oh my

#

gg have fun

restive void
#

IM NOT DOING THOSE

reef cave
#

im outta here

restive void
#

FUCK THAT LOL

#

help me math chat

#

:)))

reef cave
#

^ i stil need hepl on me problem

runic jackal
#

prove area of R1 = R2?

#

they have the same length for their bases

#

and have common heights

reef cave
#

ahh got it

#

nvm

thin hound
#

I got 4.91

#

Can anyone confirm that my answer is correct

#

#3

reef cave
#

hard to see

#

picture

thin hound
#

Better?

#

@vestal void

#

oops

#

@reef cave

reef cave
#

oh

#

k ya lemme think xD

thin hound
#

Steps 26^2 times 22^2 minus 2 times 26 times 22

#

Which was 16

#

Then cos(72) times 16

#

Which was 5

reef cave
#

im not sure

#

sozz

#

but that doesn seem right cuz its an acute triangle and since one angle measure is 72, then the sides should be realitively similar in number

#

but 5 seems kinda like a distant number

thin hound
#

I got 4.94427191

reef cave
#

@ a helper

thin hound
#

But rounded it to 5

crude kraken
#

Either they mean cut it into 8 equal slices, in which case 8

#

or they mean lengths, in which case 1

#

or they mean coterminal angles which is infinity

#

๐Ÿ‘€

neon fossil
#

8 prob

eager pendant
#

with?

#

@upper karma what are you trying to find?

chrome fiber
#

x, probably.

upper karma
#

@eager pendant the perimeter

#

So I need X

eager pendant
#

okay

#

let's split the shape into a rectangle which has area (2x+10)(x+5) and the triangle

#

we know the diagonal length, as well as the height

#

and we can find the base using pythagoras

#

what will the base be?

upper karma
#

Fuck Geometry

#

;;__;;

#

no u

restive void
#

i drew it, and i labeled each angle

#

i put w = x+50, but idk where to go from here

white swift
#

Is that a rhomboid

#

Fuck forgot what they are called lol

#

4 sides, that are two by two parallel

#

In case it is one

restive void
#

no just parallelagram

white swift
#

Then you know that the acute angle + phat one = 180

restive void
#

or however you spell

white swift
#

Ye that one

restive void
#

yeah, i got it

#

but will you help me with these next few

#

:)

white swift
#

Obtuse + acute = 180

#

And thats hwl u get it

restive void
#

i got 12

white swift
#

Zzzz

#

What can you not do

restive void
#

kuje'

white swift
#

Wut

restive void
#

like

#

uh

#

well im just lost

white swift
#

Look up your corresponding angles

#

Google

#

Corresponding, alternate angles

restive void
#

well i know what they are

#

i can tell all of them

white swift
#

Okay

#

All the angles in a triangle = 180

#

And you go from there

restive void
#

so would a be like

#

40

white swift
#

You also know that the intersection of the diagonals cuts them in half

#

Aka is a midpoint

restive void
#

yeah

white swift
#

So DE=BE and AE=EC

restive void
#

so all <a is 120

#

or is it just 40

#

wait

#

no