Question

1. triangle mno is similar to triangle pqr. find the measure of side pq. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up proportion

Since $\triangle MNO\sim\triangle PQR$, the ratios of corresponding - sides are equal. Let $\frac{MN}{PQ}=\frac{NO}{QR}$. We know $MN = 6$, $NO = 13$, and $QR = 44$. Let $PQ=x$. Then the proportion is $\frac{6}{x}=\frac{13}{44}$.

Step2: Cross - multiply

Cross - multiplying gives us $13x=6\times44$.

Step3: Solve for $x$

First, calculate $6\times44 = 264$. Then $x=\frac{264}{13}\approx20.3$.

Answer:

$20.3$