Question

triangle nop is similar to triangle qrs. find the measure of side qr. round your answer to the nearest tenth if necessary.
p 7 o
s 34 r
n 5
q

Explanation:

Step1: Identify Corresponding Sides

Since \(\triangle NOP \sim \triangle QRS\), the corresponding sides are proportional. So, \(\frac{OP}{RS}=\frac{ON}{QR}\). Here, \(OP = 7\), \(RS = 34\), and \(ON = 5\).

Step2: Set Up Proportion

Substitute the known values into the proportion: \(\frac{7}{34}=\frac{5}{QR}\).

Step3: Solve for \(QR\)

Cross - multiply: \(7\times QR=34\times5\). Then \(7QR = 170\). Divide both sides by 7: \(QR=\frac{170}{7}\approx24.3\).

Answer:

\(24.3\)