Answer
$c=12.1$ in
Work Step by Step
Pythagorean Theorem: $a^{2}+b^{2}=c^{2}$
Step 1: Plug in the given lengths.
$5^{2}+11^{2}=c^{2}$
Step 2: Solve.
25+121=$c^{2}$
146=$c^{2}$
Step 3: Take the square root of both sides.
$\sqrt 146=\sqrt c^{2}$
$12.1\approx c$
Answer: c=12.1 in