#### Answer

$(8, 15, 17)$ are a Pythagorean Triple

#### Work Step by Step

The longest side is always the hypotenuse. $c=17$
Using the Pythagorean Theorem...
$a^{2}+b^{2}=c^{2}$
$8^{2}+15^{2}=17^{2}$
Simplify...
$64+225=289$
$289=289$
Since the equation is true, the numbers $(8,15,17)$ are a Pythagorean Triple.