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
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