Question

Which set of numbers represents a Pythagorean triple?

A. 6, 9, 12
B. 7, 10, 12
C. 16, 18, 25
D. 27, 36, 45

Answer 1

The answer to your question is D.

Answer 2

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.