Answer
$\sqrt{31}\approx5.568 \text{ }cm$
Work Step by Step
Let the right triangle have $a$ and $b$ as the legs and $c$ as the hypotenuse. Using $a^2+b^2=c^2$ or the Pythagorean Theorem, with $
c=6
$ and $
a=\sqrt{5}
,$ then
\begin{array}{l}\require{cancel}
a^2+b^2=c^2
\\\\
(\sqrt{5})^2+b^2=6^2
\\\\
5+b^2=36
\\\\
b^2=36-5
\\\\
b^2=31
\\\\
b=\sqrt{31}
.\end{array}
Hence, the other leg is $
\sqrt{31}\approx5.568 \text{ }cm
$ long.
