Answer
Yes, this is a right triangle.
Work Step by Step
The legs are 60 and 80. The hypotenuse is 100. Plug the values into the Pythagorean Theorem $a^{2}$ + $b^{2}$= $c^{2}$ --> $60^{2}$ + $80^{2}$= $100^{2}$:
$60^{2}$ + $80^{2}$= $100^{2}$ -simplify exponents-
3600+6400=10000-add like terms-
10000=10000 -compare: they are equal so this is a right triangle-
This is a right triangle