Answer
$(6, 13, 15)$ are NOT a Pythagorean Triple
Work Step by Step
The longest side is always the hypotenuse. $c=15$
Using the Pythagorean Theorem...
$a^{2}+b^{2}=c^{2}$
$6^{2}+13^{2}=15^{2}$
Simplify...
$36+169=225$
$205=225$
Since the equation is not true, the numbers $(6, 13, 15)$ are NOT a Pythagorean Triple.