MATH 116 - Problem Solving Activity - Pythagorean Theorem w/ Area Tummers SCORES: A O TOTAL : Use the problem-solving rubric to produce an answer to the problem below. The diagram below will be used to prove the Pythagorean Theorem. You will NOT use any specific measurements, but rather, you will consider steps (a) - (d) below as a means to prove this important theorem in part (e). R a a. Explain why quadrilateral RSTU is a trapezoid. Consider the definition of a trapezoid in your explanation. b. What is the area of trapezoid RSTU? c. Show that ARVU is a right triangle. d. Find the areas of the three triangles in this figure. e. Prove the Pythagorean Theorem using parts (b) and (d). That is, we know the area of the original shape does not change, and therefore, we can consider it as a trapezoid OR as a shape made up of three triangles. ( do not put It's in it )