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
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 expression ab.
(1) The length of a side of the interior square is (a – b).
(2) The area of all four triangles will be represented by 4 • ab or 2ab.

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