Answer
32.0
Work Step by Step
Use the Pythagorean Theorem to find the missing length.
$a^2+b^2=c^2\longrightarrow$ substitute the given values
$20^2+25^2=c^2\longrightarrow$ simplify exponents
$400+625=c^2\longrightarrow$ add
$1025=c^2\longrightarrow$ find the square root of each side
$\sqrt{1025}=\sqrt{c^2}\longrightarrow$ simplify
$32.0=c$