Answer
c=13
Work Step by Step
The legs are 5 and 12. You have to find the hypotenuse, so you plug in the a and b into the Pythagorean theorem $a^{2}$ + $b^{2}$= $c^{2}$ --> $5^{2}$ + $12^{2}$= $c^{2}$:
$5^{2}$ + $12^{2}$= $c^{2}$ - simplify exponents-
25+144 = $c^{2}$ -add like terms-
169= $c^{2}$ -find the square root of 169 to solve for c-
13=c
C is 13
