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 are 9, 12, 14

• Triangle B: Side lengths are 10, √50, √50

• Triangle C: Side lengths are 16, 30, 35

• Triangle D: Side lengths are 10, 10.5, 14.5

• Triangle E: Side lengths are 4, √3, √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