Question

9 numeric 1 point in the figure below, $\triangle klm \sim \triangle cba$. what is the length of $lm$?
answer

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{KL}{BC} = \frac{42}{36} = \frac{7}{6}$

Step2: Set up proportion for LM

$\frac{LM}{CA} = \frac{7}{6}$

Step3: Solve for LM

$LM = 72 \times \frac{7}{6}$

Answer:

84