#### Answer

B=84

#### Work Step by Step

The hypotenuse is 85 and one of the legs is 13. Find the other leg using $a^{2}$+$b^{2}$=$c^{2}$. Plug in the leg for A and the hypotenuse for B:
$a^{2}$+$b^{2}$=$c^{2}$
$13^{2}$+$b^{2}$=$85^{2}$ -simplify the exponents-
169 + $b^{2}$=7225 -subtract 169 from both sides-
$b^{2}$=7056 -find the square root of 7056 in order to solve for b-
b=84
The other leg is 84.