Answer
$\sqrt{100.84}
\text{ }
mm
\text{ OR }
\approx 10.0
\text{ }
mm$
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=
7
$ and $b=
7.2
,$ then
\begin{array}{l}\require{cancel}
c^2=7^2+7.2^2
\\\\
c^2=49+51.84
\\\\
c^2=100.84
.\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{100.84}
.\end{array}
Hence, the missing side is $
\sqrt{100.84}
\text{ }
mm
\text{ OR }
\approx 10.0
\text{ }
mm
.$
