Use the Pythagorean Theorem, substituting 8, 15, and 17 for a, b, and c respectively. Then, simplify to determine whether the equation is true.
[tex]8^2+15^2=17^2[/tex]
[tex]64+225=289[/tex]
[tex]289=289[/tex]
As any number is clearly equal to itself, this statement is true, so 8, 15, and 17 is a valid Pythagorean Triple.