Answer
Yes
Work Step by Step
Using Pythagorean's Theorem...
$a^{2}+b^{2}=c^{2}$
Substitute in known lengths...
$15^{2}+8^{2}=17^{2}$
Simplify...
$225+64=289$
$289=289$
Since the leg lengths (squared) equals the hypotenuse (squared) then the triangle is a right triangle.