American president James A. Garfield devised an original proof of the Pythagorean theorem using the following figure. Can you complete the proof?

Source: NCTM Mathematics Teacher

**SOLUTION**

Area of trapezoid = area of right triangle area of right triangle

Area of trapezoid = half the product of the height and the sum of the bases

Area of triangle = half the product of a base and the height to that base

Multiply both sides by

**Answer**: Given in solution