Question

Given:
Square with side c.
All four interior triangles are right triangles.
All four interior triangles are congruent.
The interior quadrilateral is a square.

Prove:
a2 + b2 = c2

Square with side length c; four right triangles with hypotenuse with length c and legs measuring a and b; the interior quadrilateral is a square.

When written in the correct order, the paragraph below proves the Pythagorean Theorem using the diagram.

Let a represent the height and b represent the base of each triangle.

The area of one triangle is represented by the expressionOnehalfab.

Answer 1

@jdoe0001 @amistre64

Answer 2

@MayMay_69 @genius12