Question

question
triangle jkl is similar to triangle mno. find the measure of side om. round your answer to the nearest tenth if necessary. figures are not drawn to scale.
(images of triangles jkl and mno: jkl has sides jl=17, jk=37; mno has side mn=15)
answer attempt 1 out of 3

Explanation:

Step1: Identify corresponding sides

Since $\triangle JKL \sim \triangle MNO$, the corresponding sides are proportional. Let's assume $JK$ corresponds to $MN$, $JL$ corresponds to $OM$, and $KL$ corresponds to $NO$. So, $\frac{JL}{OM} = \frac{JK}{MN}$. We know $JL = 17$, $JK = 37$, and $MN = 15$.

Step2: Set up proportion

Substitute the known values into the proportion: $\frac{17}{OM} = \frac{37}{15}$.

Step3: Solve for $OM$

Cross - multiply to get $37 \times OM = 17 \times 15$. Then $OM=\frac{17\times15}{37}$. Calculate $17\times15 = 255$. So $OM=\frac{255}{37}\approx6.9$.

Answer:

$6.9$