Question

the figures below are similar. use proportions to find the length of n.

Explanation:

Step1: Set up proportion

Since the two triangles are similar, the ratios of corresponding sides are equal. So we have $\frac{4}{6}=\frac{8}{n}$.

Step2: Cross - multiply

$4\times n=6\times8$.

Step3: Solve for n

$4n = 48$, then $n=\frac{48}{4}=12$.

Answer:

$12$