How does the Pythagorean Theorem relate the side lengths of a right triangle?

consider ABC a right triangle with sides of length a and b and the hypothenuse of length c:

The Pythagorean theorem states that :  c² = a² + b²

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )