a^2 + b^2 = c^2

I just truly hate math

it's used to find the length of one side of a right triangle.

especially geometry

It's the basis upon which trigonometry is founded.

cool story

I r 2 stooped fur skool

Just use slader.com<:thinking:726878987837636698>

@mikeflarkin why would you use the pythagorean theorem when you could use the proof every time. This proof appears in the Book IV of Mathematical Collection by Pappus of Alexandria (ca A.D. 300) [Eves, Pappas]. It generalizes the Pythagorean Theorem in two ways: the triangle ABC is not required to be right-angled and the shapes built on its sides are arbitrary parallelograms instead of squares. Thus build parallelograms CADE and CBFG on sides AC and, respectively, BC. Let DE and FG meet in H and draw AL and BM parallel and equal to HC. Then Area(ABML) = Area(CADE) + Area(CBFG). Indeed, with the sheering transformation already used in proofs #1 and #12, Area(CADE) = Area(CAUH) = Area(SLAR) and also Area(CBFG) = Area(CBVH) = Area(SMBR). Now, just add up what's equal.

<:Nervous_Pepe:797578774531014677>

this is a work smarter not harder situation.

I just got here and ummmm

Kam you sir failed that lesson

<:KEK:795742276549607456>

no this is an actual proof for the Pythagorean theorem

<:Nervous_Pepe:797578774531014677>

what satanic passage did you just write up

I'm not gonna lie my eyes glazed over and I didn't get past word ten

ummmmm, that is information that i cannot give

<:Nervous_Pepe:797578774531014677> <:Nervous_Pepe:797578774531014677> <:Nervous_Pepe:797578774531014677>

Pythagorean Theorem and trigonometry in a nutshell:
if you know the length of two sides of a right triangle, you can find the length of the third side.
Because these lengths are related to eachother, the ratio of one to the other will always be the same for a right triangle with a given secondary angle. Consequently, if you know the side length ratios for a given angle, then you can calculate the lengths of two sides given an angle and the length of one side, or you can find the other two angles given the length of two sides.

yes I know I had to use it in a math class once upon a time, and I told my retarded ass math teacher the same thing. plus the greeks weren't the ones that came up with that, it was the egyptians the greeks just documented it

it is the 17th proof of the theorem

I member when I was gud at mefs

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i think there are like 122

im not even kidding

wanna know how you can prove it without that bullshit? the 3,4,5 triangle 🙂

the math teachers that make you do 10 extra steps to get an answer you can get in 3 are the ones that should not teach math

exactly, the A^2 + B^2 = C^2 is the oldest one anyway

LOLOL

that is not the oldes one

why they thought it was necessary to prove it 121 more way is crazy

no but most of them were proven after it

yes true but I don't do math history anymore because I get into too many stupid fights about stupid topics between which ancient culture did it first

lmao

Conveniently, any polygon can be divided into triangles, and any triangle that is not already a right triangle can be divided into two right triangles.

the history of math is nothing but heresy anyways

wow, we are forever indebted to you, this information is literally without value.

It's incredibly important in trigonometry.

trig is the math I hated the most