Question

question 6
triangles mno and pqr are similar.
what is the length of \\(\overline{pr}\\)? show your work.

Explanation:

Step1: Identify Similar Triangles Ratio

Since \(\triangle MNO \sim \triangle PQR\) (similar triangles), corresponding sides are proportional. The ratio of \(PQ\) to \(MN\) is \(\frac{8}{4}=2\).

Step2: Apply Ratio to \(MO\)

The side \(MO = 5\) in \(\triangle MNO\). For \(\triangle PQR\), \(PR\) corresponds to \(MO\). So, \(PR=MO\times2\).

Step3: Calculate \(PR\)

Substitute \(MO = 5\) into the formula: \(PR = 5\times2 = 10\).

Answer:

The length of \(\overline{PR}\) is \(10\).