## Thinking Mathematically (6th Edition)

$c=12.1$ in
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