Which set of numbers represents a Pythagorean triple?

A. 6, 9, 12

B. 7, 10, 12

C. 16, 18, 25

D. 27, 36, 45

We will plug in the numbers and see if it is a Pythagorean triple.

The Pythagorean theorem: c² = a² + b²

A) 12² = 6² + 9²

144 = 36 + 81

144 ≠ 117

B) 12² = 10² + 7²

144 = 100 + 49

144 ≠ 149

C) 25² = 18² + 16²

625 = 324 + 256

625 ≠ 580

D) 45² = 36² + 27²

2,025 = 1,296 + 729

2,056 = 2,056 (correct)

Answer: D) 27, 36, 45.

The answer to your question is D.