Answer
$c=9\sqrt{2}
\\\\
c\approx12.728
$
Work Step by Step
In the given right triangle, $a$ and $b$ are the legs and $c$ is the hypotenuse. Using $a^2+b^2=c^2$ or the Pythagorean Theorem, with $
a=9
$ and $
b=9
,$ then
\begin{array}{l}\require{cancel}
a^2+b^2=c^2
\\\\
9^2+9^2=c^2
\\\\
81+81=c^2
\\\\
162=c^2
\\\\
c=\sqrt{162}
\\\\
c=\sqrt{81\cdot2}
\\\\
c=\sqrt{(9)^2\cdot2}
\\\\
c=9\sqrt{2}
\\\\
c\approx12.728
.\end{array}