#### Answer

c=17ft

#### Work Step by Step

The legs are 8 ft and 15ft. You have to find the hypotenuse so plug in a and b in the Pythagorean formula: $a^{2}$ + $b^{2}$= $c^{2}$=$8^{2}$ + $15^{2}$ = $c^{2}$:
$8^{2}$ + $15^{2}$ = $c^{2}$ -do the exponents-
64+225= $c^{2}$ -add like terms-
289= $c^{2}$ -find the square root of 289 to solve for c-
17=c
C is 17ft