Question

the figures below are similar. use proportions to find the length of s. 6 8 9 s s = ?

Explanation:

Step1: Set up proportion

Since the figures are similar, the ratios of corresponding sides are equal. So we have the proportion $\frac{6}{9}=\frac{8}{s}$.

Step2: Cross - multiply

Cross - multiplying gives us $6s = 8\times9$.

Step3: Simplify right - hand side

$8\times9=72$, so $6s = 72$.

Step4: Solve for s

Dividing both sides by 6, we get $s=\frac{72}{6}$.

Answer:

$12$