## Elementary Geometry for College Students (6th Edition)

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