Question

triangle mno is similar to triangle prs. find pr. round your answer to the nearest tenth if necessary. figures are not drawn to scale.
o 5 n
7
m
r 24 s
x
p

Explanation:

Step1: Identify corresponding sides

Since \(\triangle MNO \sim \triangle PRS\), corresponding sides are proportional. \(ON = 5\), \(RS = 24\), \(MN = 7\), and \(PR = x\). So, \(\frac{MN}{PR}=\frac{ON}{RS}\).

Step2: Set up proportion

Substitute values: \(\frac{7}{x}=\frac{5}{24}\).

Step3: Solve for \(x\)

Cross - multiply: \(5x = 7\times24\). Calculate \(7\times24 = 168\). Then \(x=\frac{168}{5}=33.6\).

Answer:

\(33.6\)