Question

triangle mno is similar to triangle pqr. find the measure of side qr. round your answer to the nearest tenth if necessary. figures are not drawn to scale.

Explanation:

Step1: Set up proportion

Since $\triangle MNO\sim\triangle PQR$, the ratios of corresponding - sides are equal. Let $MN = 5$, $NO = 7$, $PQ = 24$, and we want to find $QR$. The proportion is $\frac{MN}{PQ}=\frac{NO}{QR}$.

Step2: Substitute values

Substitute the known values into the proportion: $\frac{5}{24}=\frac{7}{QR}$.

Step3: Cross - multiply

Cross - multiplying gives us $5\times QR=7\times24$.

Step4: Solve for $QR$

First, calculate $7\times24 = 168$. Then, $QR=\frac{168}{5}=33.6$.

Answer:

$33.6$