#### Answer

$(5, 12, 13)$ are a Pythagorean Triple

#### Work Step by Step

The longest side is always the hypotenuse. $c=13$
Using the Pythagorean Theorem...
$a^{2}+b^{2}=c^{2}$
$5^{2}+12^{2}=13^{2}$
Simplify...
$25+144=169$
$169=169$
Since the equation is true, the numbers $(5, 12, 13)$ are a Pythagorean Triple.