Grade 8 | Unit 8 | Lesson 9: The Converse | Practice Problems

Which of these triangles are definitely right triangles? Explain how you know. (Note that not all triangles are drawn to scale.)

• Triangle A: Side lengths 9, 12, 14

• Triangle B: Side lengths 10, square root 50, square root 50

• Triangle C: Side lengths 16, 30, 35

• Triangle D: Side lengths 10, 10.5, 14.5

• Triangle E: Side lengths 4, square root 3, square root 13

A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasoning.

For which triangle does the Pythagorean Theorem express the relationship between the lengths of its three sides?

• Triangle A

• Triangle B

• Triangle C

• Triangle D

• Triangle E