Question

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

Explanation:

Step1: Set up proportion

Since $\triangle FGH\sim\triangle IJK$, the ratios of corresponding - sides are equal. Let $KI = x$. The corresponding - sides give the proportion $\frac{KI}{FH}=\frac{JK}{GH}$.

Step2: Substitute values

We know that $FH = 8$, $JK = 22$, and $GH = 5.1$. Substituting these values into the proportion, we get $\frac{x}{8}=\frac{22}{5.1}$.

Step3: Solve for $x$

Cross - multiply: $5.1x=22\times8$. Then $5.1x = 176$. Divide both sides by $5.1$: $x=\frac{176}{5.1}\approx34.5$.

Answer:

$34.5$