Mathematics: BEST GETS BRAINLIEST Proof for Pythagoras Theorem (I’ll take multiple different approaches) Please make it logical/satisfying.

BEST GETS BRAINLIEST Proof for Pythagoras Theorem

Ответ:

laura1649

30.01.2022

Proofs for Pythagoras Theorem usually use visual/geometry approaches. I don't post pictures in my answers, so I will present a linear algebra approach. You can see it in the blog posted by Professor Terence Tao.

Note that there are several elegant proofs using animations and drawings, but this is just personal.

I've seen this some time ago, it is really interesting proof.

It states that a^2+b^2=c^2 is equivalent to the statement that the matrices

$%\begin{pmatrix}a & b \\ -b & a%\end{pmatrix}%$ $\begin{pmatrix}a& b \\-b & a\\\end{pmatrix}$ and $\begin{pmatrix}c & 0\\0 & c \\\end{pmatrix}$ have the same determinant.