Question

similar figures / direct scale (level 2)
score: 2/15 penalty: none
question
triangle jkl is similar to triangle mno. find the measure of side mn. figures are not drawn to scale.

Explanation:

Step1: Set up proportion

Since \(\triangle JKL\sim\triangle MNO\), the ratios of corresponding sides are equal. Let \(MN = x\). The proportion is \(\frac{JK}{MN}=\frac{JL}{MO}\). Substituting the values: \(\frac{3}{x}=\frac{6}{27.2}\).

Step2: Cross - multiply

Cross - multiplying gives \(6x=3\times27.2\).

Step3: Solve for \(x\)

First, calculate \(3\times27.2 = 81.6\). Then \(x=\frac{81.6}{6}\).

Answer:

\(13.6\)