Answer
a=15
Work Step by Step
The hypotenuse is 39 and the leg is 36. To find the other leg plug in a and c into the Pythagorean formula $a^{2}$ + $b^{2}$= $c^{2}$ --> $a^{2}$ + $36^{2}$= $39^{2}$:
$a^{2}$ + $36^{2}$= $39^{2}$ -simplify the exponent-
$a^{2}$ + 1296 =1521 - subtract 1296 from both sides-
$a^{2}$=225 -find the square root of 225 to solve for a-
a=15
A is 15.
