Answer
$\sqrt{12.58}
\text{ }
in
\text{ OR }
\approx 3.5
\text{ }
in$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the Pythagorean Theorem to solve for the value of the missing side measurement.
$\bf{\text{Solution Details:}}$
Based on the given figure, the missing side is the hypotenuse, $c,$ of the right triangle. Using the Pythagorean Theorem which is given by $c^2=a^2+b^2,$ with $a=
2.7
$ and $b=
2.3
,$ then
\begin{array}{l}\require{cancel}
c^2=2.7^2+2.3^2
\\\\
c^2=7.29+5.29
\\\\
c^2=12.58
.\end{array}
Taking the principal square root of both sides (since there are no negative side measurement) results to
\begin{array}{l}\require{cancel}
c=\sqrt{12.58}
.\end{array}
Hence, the missing side is $
\sqrt{12.58}
\text{ }
in
\text{ OR }
\approx 3.5
\text{ }
in
.$
