Answer
$c=17 $
Work Step by Step
Pythagorean Theorem: $a^{2}+b^{2}=c^{2}$
Step 1: plug in the given lengths into the formula.
$8^{2}+15^{2}=c^{2}$
Step 2: Solve.
64+225=$c^{2}$
289=$c^{2}$
Step 3: take the square root of both sides.
$\sqrt{289}=\sqrt c^{2}$
17=c
Answer: c=17 m