Answer
$26$.
Work Step by Step
The given sides are
$a=10,b=24$
Use Pythagorean Theorem $c^2=a^2+b^2$ where $c$ is the length of the hypotenuse to obtain:
$c^2=(10)^2+(24)^2$
$c^2=100+576$
$c^2=676$
$c^2=26^2$
Take square root on both sides.
$c=26$
Hence, the hypotenuse is $26$.
