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Completion requirements
-
Determine the length of side \(r\) of triangle \(PQR\). Round to the nearest hundredth.Note that the hypotenuse is side \(q\).
\(\begin{align}
p^2 + r^2 &= q^2 \\
\left( {15} \right)^2 + r^2 &= \left( {20} \right)^2 \\
225 + r^2 &= 400 \\
r^2 &= 175 \\
r &= \sqrt {175} \\
r &= 13.228... \\
r &\doteq 13.23{\rm \thinspace{mm}} \\
\end{align}\) - Determine the length of side \(v\) of triangle \(UVW\). Round to the nearest hundredth.Note that the hypotenuse is side \(v\).
\(\begin{align}
u^2 + w^2 &= v^2 \\
\left( 6 \right)^2 + \left( {10} \right)^2 &= v^2 \\
36 + 100 &= v^2 \\
136 &= v^2 \\
\sqrt {136} &= v \\
11.661... &= v \\
11.66{\rm \thinspace{m}} &\doteq v \\
\end{align}\)