There are 3 shaded squares with sides a, b, and c, respectively.

Question

a, b, and c are also the lengths of the sides of the right triangle, such that the area of the square with side a is a2 and the area of the square with side b is b2 and the area of the square with side c is c2.

Prove: a2 + b2 = c2 (Pythagorean Theorem)

Proving which of the following will prove the Pythagorean Theorem?

Answer 1

Proving that the sum of the areas of the squares with sides a and b is equal to the area of the square with side c will prove the Pythagorean Theorem.