Question

the pair of figures is similar. find the missing side.

Explanation:

Step1: Set up proportion for similar triangles

Since the triangles are similar, the ratios of corresponding sides are equal. So we have $\frac{12}{3}=\frac{20}{x}$.

Step2: Cross - multiply to solve for x

Cross - multiplying gives us $12x = 3\times20$.

Step3: Simplify and solve for x

First, calculate $3\times20 = 60$. Then we have the equation $12x=60$. Divide both sides by 12: $x=\frac{60}{12}=5$.

Answer:

$x = 5$