Question

triangle jkl is similar to triangle mno. find the measure of side om. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up proportion

Since $\triangle JKL\sim\triangle MNO$, the ratios of corresponding - sides are equal. Let $OM = x$. We have the proportion $\frac{OM}{JK}=\frac{MN}{KL}$.

Step2: Substitute values

Substitute $JK = 7$, $MN = 31$, and $KL = 10$ into the proportion: $\frac{x}{7}=\frac{31}{10}$.

Step3: Solve for x

Cross - multiply to get $10x=31\times7$, then $10x = 217$. Divide both sides by 10: $x=\frac{217}{10}=21.7$.

Answer:

$21.7$