Question

triangle opq is similar to triangle rst. find the measure of side rs. figures are not drawn to scale.

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let \(RS = x\). The proportion is \(\frac{OP}{RS}=\frac{OQ}{RT}\). Substituting the values: \(\frac{4}{x}=\frac{6}{23.4}\).

Step2: Cross - multiply

Cross - multiplying gives \(6x = 4\times23.4\).

Step3: Solve for \(x\)

First, calculate \(4\times23.4 = 93.6\). Then \(x=\frac{93.6}{6}\).

Answer:

\(15.6\)