Answer
$5$.
Work Step by Step
The given sides are
$a=4,b=3$
Use Pythagorean Theorem.$c^2=a^2+b^2$ where $c$ is the length of the hypotenuse to obtain:
$c^2=(4)^2+(3)^2$
$c^2=16+9$
$c^2=25$
$c^2=5^2$
Take square root on both sides.
$c=5$
Hence, the hypotenuse is $5$.