#### Answer

C=32

#### Work Step by Step

The legs are 20 and 25. You have to find the hypotenuse, so you plug in the a and b into the Pythagorean theorem $a^{2}$ + $b^{2}$= $c^{2}$-->$20^{2}$ + $25^{2}$= $c^{2}$:
$20^{2}$ + $25^{2}$= $c^{2}$ -simplify the exponents-
400+625= $c^{2}$ -add like terms-
1025= $c^{2}$ -find the square root of 1025 to solve for c-
32.0=c
The length of C is 32