Question

$\triangle stu \sim \triangle rpq$. find $pq$ and $pr$.

Explanation:

Step1: Find similarity ratio

Corresponding sides: $TU = 3$, $RQ = 40$.
Ratio: $\frac{RQ}{TU} = \frac{40}{3}$

Step2: Calculate $PQ$

$PQ$ corresponds to $SU = 4$.
$PQ = 4 \times \frac{40}{3} = \frac{160}{3}$

Step3: Calculate $PR$

$PR$ corresponds to $ST = 3$.
$PR = 3 \times \frac{40}{3} = 40$

Answer:

$PQ = \frac{160}{3}$
$PR = 40$