Question

triangle fgh is similar to triangle ijk. find the measure of side ij. round your answer to the nearest tenth if necessary. h g k j 9 44 20 f i

Explanation:

Step1: Identify corresponding sides

Since $\triangle FGH \sim \triangle IJK$, the corresponding sides are proportional. So, $\frac{FG}{IJ}=\frac{HG}{KJ}$. Here, $FG = 20$, $HG = 9$, and $KJ = 44$.

Step2: Set up the proportion

Substitute the known values into the proportion: $\frac{20}{IJ}=\frac{9}{44}$.

Step3: Solve for IJ

Cross - multiply to get $9\times IJ=20\times44$. Then $IJ=\frac{20\times44}{9}=\frac{880}{9}\approx97.8$.

Answer:

$\approx 97.8$