Answer
$12$ mm
Work Step by Step
We know that for a right triangle the Pythagorean Theorem states:
$leg_1^2+leg_2^2=hypotenuse^2$
$a^2+b^2=c^2$
Thus we have:
$a^2+16^2=20^2$
$a^2+256=400$
$a^2=400-256$
$a^2=144$
$a=\sqrt{144}$
$a=12$ mm