Answer
$c=39$
Work Step by Step
Pythagorean Theorem: $a^{2}+b^{2}=c^{2}$
Step 1:Plug in the given lengths.
$15^{2}+36^{2}=c^{2}$
Step 2: Solve.
225+1296=$c^{2}$
1521=$c^{2}$
Step 3: Take the square root of both sides.
$\sqrt 1521=\sqrt c^{2}$
39=c
Answer: c=39 m