Which set of side lengths defines a right triangle?
a.
7, 9, 13
b.
5, 12, 14
c.
8, 15, 17
d.
9, 12, 14

If you have a lot of Pythagorean triples memorized, then you'd probably know immediately, but if not, then you can use the Pythagorean Theorem to calculate each one:

A.: 7^2+9^2=49+81 which is not equal to 13^2, or 169

B.: 5^2+12^2=25+144 which is not equal to 14^2, or 196

C.: 8^2+15^2=64+225=17^2=289

D.: 9^2+12^2=81+144 which isn't equal to 14^2, or 196

Therefore, the correct answer is C.

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step-by-step explanation: