Answer
No, this is not a right triangle
Work Step by Step
The legs are 5 and 24. The hypotenuse is 25. Plug the values into the Pythagorean Theorem $a^{2}$ + $b^{2}$= $c^{2}$ --> $5^{2}$ + $24^{2}$= $25^{2}$:
$5^{2}$ + $24^{2}$= $25^{2}$ -simplify exponents-
25+576=625 -add like terms-
601=625 -compare: they are not equal so this is not a right triangle-
This is not a right triangle