Question

PLEASE THIS IS DUE TODAY SO PLEASE HELP ME OUT!!!!
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Answer 1

A: c^2

B: (1/2)ab

C: a^2 +b^2 = c^2 . . . Pythagorean theorem

Explanation:

A. The area of the square with side length c is the product of the side lengths:

small square area = c·c = c^2

B. The area of a triangle is half the product of its base and height:

triangle area = (1/2)ab

C. Doing what the instructions say, we have ...

a^2 +2ab +b^2 = 4(1/2)ab +c^2

a^2 +b^2 = c^2 . . . . . . . . . . . . . . . . . subtract 2ab from both sides

This is a statement of the Pythagorean theorem.