Question

triangle fgh is similar to triangle ijk. find the measure of side ij. figures are not drawn to scale.

Explanation:

Step1: Set up the proportion

Since \(\triangle FGH\sim\triangle IJK\), the ratios of corresponding sides are equal. Let \(IJ = x\). The proportion is \(\frac{IJ}{GH}=\frac{IK}{FH}\). Substituting the values: \(\frac{x}{4}=\frac{7.3}{2}\).

Step2: Solve the proportion

Cross - multiply: \(2x = 4\times7.3\). Then \(2x=29.2\). Divide both sides by 2: \(x=\frac{29.2}{2}\).

Answer:

\(14.6\)