Answer
$10$.
Work Step by Step
The given sides are
$a=6,b=8$
Use Pythagorean Theorem.$c^2=a^2+b^2$ where $c$ is the length of the hypotenuse to obtain:
$c^2=(6)^2+(8)^2$
$c^2=36+64$.
$c^2=100$
$c^2=10^2$
Take square root on both sides.
$c=10$
Hence, the hypotenuse is $10$.