Answer
$25$.
Work Step by Step
The given sides are
$a=7,b=24$
Use Pythagorean Theorem $c^2=a^2+b^2$ where $c$ is the length of the hypotenuse to obtain:
$c^2=(7)^2+(24)^2$
$c^2=49+576$
$c^2=625$
$c^2=25^2$
Take square root on both sides.
$c=25$
Hence, the hypotenuse is $25$.
