Answer
$13$
Work Step by Step
The given sides are
$a=5,b=12$
Use Pythagorean theorem $c^2=a^2+b^2$ where $c$ is the hypotenuse.
Substitute both the values.
$c^2=(5)^2+(12)^2$
$c^2=25+144$
$c^2=169$
$c^2=13^2$
Take square root on both sides.
$c=13$
Hence, the hypotenuse is $13$