Question

triangle lmn is similar to triangle opq. find the measure of side pq. figures are not drawn to scale.
triangle lmn: side nm = 72, side ml = 36
triangle opq: side o p = 9.3

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{OP}{LM} = \frac{9.3}{36}$

Step2: Set up proportion for PQ

$\frac{PQ}{MN} = \frac{9.3}{36}$

Step3: Solve for PQ

$PQ = 72 \times \frac{9.3}{36}$

Answer:

18.6