Question

$\triangle abc \sim \triangle xwy$. find $ac$ and $wy$.
21
18
28
3
write your answers as decimals or whole numbers.

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{AB}{XW} = \frac{21}{28} = \frac{3}{4}$

Step2: Solve for $AC$

Corresponding sides: $\frac{AC}{XY} = \frac{3}{4}$
$AC = 32 \times \frac{3}{4}$
$AC = 24$

Step3: Solve for $WY$

Corresponding sides: $\frac{BC}{WY} = \frac{3}{4}$
$WY = 18 \div \frac{3}{4} = 18 \times \frac{4}{3}$
$WY = 24$

Answer:

$AC = 24$, $WY = 24$