Answer:
C. (5, 8, 9)
Explanation:
Put the triples into the Pythagorean Theorem and see if they come out true.
a² + b² = c²
5² + 12² = 13²
25 + 144 = 169
169 = 169
5, 12, and 13 are a Pythagorean Triple.
a² + b² + c²
8² + 15² = 17²
64 + 225 = 289
289 = 289
8, 15, and 17 are a Pythagorean Triple.
a² + b² = c²
5² + 8² = 9²
25 + 64 = 81
89 ≠ 81
5, 8, and 9 are NOT a Pythagorean Triple.
a² + b² = c²
6² + 8² = 10²
36 + 64 = 100
100 = 100
6, 8, and 10 are a Pythagorean Triple.