Question

given that the pair of triangles is similar, find the missing length. 5)

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, $\frac{x}{7}=\frac{48}{24}$.

Step2: Solve for x

Cross - multiply: $24x = 48\times7$. Then $24x=336$. Divide both sides by 24: $x=\frac{336}{24}=14$.

Answer:

14