Answer:
A: c^2
B: (1/2)ab
C: a^2 +b^2 = c^2 . . . Pythagorean theorem
Step-by-step 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.
