Right Triangles, Pythagorean Theorem, and Converse of the Pythagorean Theorem: FURNITURE DESIGNER PROJECT. This is a perfect Real World Math Project for Geometry. Use this challenge to practice finding the missing side lengths in right triangles by using the Pythagorean Theorem (6 problems), and practice the converse of the Pythagorean Theorem (3 problems, they need to determine if there are right triangles using the given side lengths).A company that designs furniture for clients asked you for