Question

Which set of numbers could represent the side lengths of a right triangle?

O A. 2, 3, 4
O B.
4, 5, 6
OC. 6, 9,
9, 12
D. 8, 15,
15, 17​

Answer 1

Answer: D) 8, 15, 17

Explanation:

In order for three side lengths to represent a right triangle, they must satisfy the Pythagorean Theorem: a² + b² = c² where c is the largest side.

A) 2² + 3² = 4²

4 + 9 = 16

13 = 16 FALSE

B) 4² + 5² = 6²

16 + 25 = 36

41 = 36 FALSE

C) 6² + 9² = 12²

36 + 81 = 144

117 = 144 FALSE

D) 8² + 15² = 17²

64 + 225 = 289

289 = 289 TRUE!