Question

triangle fgh is similar to triangle ijk. find the measure of side ij. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Identify corresponding sides

Since $\triangle FGH \sim \triangle IJK$, the ratio of corresponding sides is equal. Side $HG$ (length 9) corresponds to side $KJ$ (length 44), and side $FG$ (length 20) corresponds to side $IJ$ (let its length be $x$).

Step2: Set up proportion

The proportion of corresponding sides is $\frac{HG}{KJ} = \frac{FG}{IJ}$. Substituting the known values: $\frac{9}{44} = \frac{20}{x}$.

Step3: Solve for $x$

Cross - multiply: $9x = 44\times20$. Then $9x = 880$. Divide both sides by 9: $x=\frac{880}{9}\approx97.8$.

Answer:

$\approx 97.8$