Question

ABCDEF - QRSTUV. Find the length of ST.

Answer 1

Answer:

Option (1)

Step-by-step explanation:

It's given in the question, ABCDEF ~ QRSTUV,

Their corresponding sides will be proportional.

$\frac{AB}{QR}= \frac{BC}{RS}= \frac{CD}{ST}= \frac{DE}{TU}= \frac{EF}{UV}$

Now we choose $\frac{DE}{TU}=\frac{CD}{ST}$

From the figure attached,

$\frac{6}{2.4}=\frac{5.4}{ST}$

ST = $\frac{5.4\times 2.4}{6}$

ST = 2.16

Therefore, Option (1) is the correct option.