Answer
$c=\sqrt{146} \text{ } in$
Work Step by Step
Using $a^2+b^2=c^2$ or the Pythagorean Theorem, then,
\begin{array}{l}\require{cancel}
5^2+11^2=c^2
\\\\
25+121=c^2
\\\\
146=c^2
\\\\
c=\pm\sqrt{146}
.\end{array}
Since there are no negative measurements, then $
c=\sqrt{146} \text{ } in
.$
