Question

triangle klm is similar to triangle pqr. what is the length of side km? a. 60 ft b. 80 ft c. 100 ft d. 120 ft

Explanation:

Step1: Set up proportion for similar triangles

Since $\triangle KLM\sim\triangle PQN$, the ratios of corresponding sides are equal. Let $KM = x$. Then $\frac{KM}{PN}=\frac{LM}{QN}$.

Step2: Substitute known values

We know that $PN = 60$ ft, $LM = 80$ ft, and $QN = 40$ ft. So $\frac{x}{60}=\frac{80}{40}$.

Step3: Solve for $x$

Cross - multiply: $40x=60\times80$. Then $40x = 4800$. Divide both sides by 40: $x=\frac{4800}{40}=120$ ft.

Answer:

D. 120 ft