Question

if △sqr is similar to △spt, what is the length of st? 13 in 5.2 in 4.8 in 5 in

Explanation:

Step1: Identify similarity ratio

Ratio of QR to PT: $\frac{QR}{PT} = \frac{13}{5.2} = 2.5$

Step2: Relate SR and ST

Since $\triangle SQR \sim \triangle SPT$, $\frac{SR}{ST} = 2.5$

Step3: Solve for ST

$ST = \frac{SR}{2.5} = \frac{5}{2.5} = 2$

Answer:

2 in