Question

triangle mno is similar to triangle pqr. find the measure of side rp. figures are not drawn to scale. answer attempt 1 out of 2 submit answer

Explanation:

Step1: Set up the proportion

Since \(\triangle MNO\sim\triangle PQR\), the ratios of corresponding sides are equal. Let \(RP = x\). The proportion is \(\frac{MN}{PQ}=\frac{MO}{PR}\). Here, \(MN = 24\), \(PQ = 1.9\), \(MO = 12\), and \(PR=x\). So, \(\frac{24}{1.9}=\frac{12}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(24x=1.9\times12\).

Step3: Solve for \(x\)

First, calculate \(1.9\times12 = 22.8\). Then, \(x=\frac{22.8}{24}\). Simplifying \(\frac{22.8}{24}=\frac{228}{240}=\frac{19}{20}=0.95\).

Answer:

\(0.95\)