Question

question: triangle ljk is similar to triangle lmn. find the measure of side lm. round your answer to the nearest tenth if necessary. answer: attempt 1 out of 2

Explanation:

Step1: Set up proportion

Since $\triangle LJK\sim\triangle LMN$, the ratios of corresponding - sides are equal. Let $LM = x$. Then $\frac{LJ}{LM}=\frac{LK}{LN}$. We know that $LJ = 7$, $LK = 13$, and $LN = 41$. So the proportion is $\frac{7}{x}=\frac{13}{41}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{7}{x}=\frac{13}{41}$ gives us $13x=7\times41$.

Step3: Solve for $x$

First, calculate $7\times41 = 287$. Then, $x=\frac{287}{13}\approx22.1$.

Answer:

$22.1$