Question

bcde ~ tsru. find de and rs.
write your answers as decimals or whole numbers
$de = \square$
$rs = \square$

Explanation:

Step1: Find similarity ratio

Similarity ratio: $\frac{BC}{TS} = \frac{28}{36} = \frac{7}{9}$

Step2: Solve for DE using ratio

Corresponding side to DE is RU.
$\frac{DE}{RU} = \frac{7}{9}$
$DE = 27 \times \frac{7}{9}$
$DE = 21$

Step3: Solve for RS using ratio

Corresponding side to RS is EB.
$\frac{EB}{RS} = \frac{7}{9}$
$RS = 14 \div \frac{7}{9} = 14 \times \frac{9}{7}$
$RS = 18$

Answer:

$DE = 21$
$RS = 18$