Question

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

Cross - multiplying gives $4n = 6\times8$.

Step3: Simplify right - hand side

$6\times8=48$, so $4n = 48$.

Step4: Solve for n

Dividing both sides by 4, we get $n=\frac{48}{4}=12$.

Answer:

$12$