Grade 8 | Unit 8 | Lesson 10: Applications of the Pythagorean Theorem | Practice Problems

A man is trying to zombie-proof his house. He wants to cut a length of wood that will brace a door against a wall. The wall is 4 feet away from the door, and he wants the brace to rest 2 feet up the door. About how long should he cut the brace?

At a restaurant, a trash can’s opening is rectangular and measures 7 inches by 9 inches. The restaurant serves food on trays that measure 12 inches by 16 inches. Jada says it is impossible for the tray to accidentally fall through the trash can opening because the shortest side of the tray is longer than either edge of the opening. Do you agree or disagree with Jada’s explanation? Explain your reasoning.

Select all the sets that are the three side lengths of right triangles.

• 8, 7, 15

• (2, 0)

• (4, 7)

• (5, 4)

• (6, 5)