Question

1. in the diagram below, $\triangle fgh sim \triangle fij$. find $s$.

30 yd
36 yd
27 yd
$s$

1. write your answer as a whole number or a decimal. do not round.
2. $s = \square$ yards

Explanation:

Step1: Set up similarity proportion

Since $\triangle FGH \sim \triangle FIJ$, corresponding sides are proportional:
$\frac{s}{30} = \frac{36}{27}$

Step2: Solve for $s$

Multiply both sides by 30:
$s = 30 \times \frac{36}{27}$
Simplify $\frac{36}{27} = \frac{4}{3}$, so:
$s = 30 \times \frac{4}{3}$

Answer:

40 yards