#### Answer

b=40

#### Work Step by Step

The hypotenuse is 41 and the leg is 9. To find the other leg plug in a and c into the Pythagorean formula $a^{2}$ + $b^{2}$= $c^{2}$ --> $9^{2}$ + $b^{2}$= $41^{2}$:
$9^{2}$ + $b^{2}$= $41^{2}$ -simplify the exponent-
81+ $b^{2}$ =1681 - subtract 81 from both sides-
$b^{2}$=1600 -find the square root of 1600 to solve for b-
b=40
B is 40.