#### Answer

Pythagorean triple

#### Work Step by Step

A Pythagorean triple occurs when all three numbers given in the Pythagorean theorem are whole numbers. Thus, we have:
$a^2 + b^2 = c^2$
We substitute in the n to have:
$a^2n^2 + b^2n^2 = c^2n^2 \\ n^2(a^2 + b^2 = c^2)$
Since an integer times another integer is an integer, it follows that this is also a Pythagorean triple.