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 sentences below create a paragraph proof of 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 One halfab.
(1) The area of the interior square is (a – b)2.
(2) The length of a side of the interior square is (a – b).
(3) By distribution,

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a. (4), (1), (2), (3)
b. (4), (2), (1), (3)
c. (4), (2), (3), (1)
d. (4), (1), (3), (2)

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