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 1/2 ab.

(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, the area is a2 – 2ab + b2.

(4) The area of all four triangles will be represented by 4 •1/2 ab or 2ab.

The area of the exterior square is found by squaring side c, which is c2, or by adding the

Question

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 1/2 ab.

(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, the area is a2 – 2ab + b2.

(4) The area of all four triangles will be represented by 4 •1/2  ab or 2ab.
 
The area of the exterior square is found by squaring side c, which is c2, or by adding the