Answer
Yes, it is a right triangle
Work Step by Step
The legs are 8 and 15. The hypotenuse is 17. Plug the values into the Pythagorean Theorem $a^{2}$ + $b^{2}$= $c^{2}$ --> $8^{2}$ + $15^{2}$= $17^{2}$:
$8^{2}$ + $15^{2}$= $17^{2}$ -simplify exponents-
64+225=289 -add like terms-
289=289 -compare: they are equal so this is a right triangle-
This is a right triangle
