△abc and △pqr are similar. find the missing side length.\n(the triangles are not drawn to scale.)
△abc and △pqr are similar. find the missing side length.\n(the triangles are not drawn to scale.)
Answer
Explanation:
Step1: Find the scale - factor
The ratio of corresponding sides of similar triangles is the same. Let's find the ratio of the sides we know. $\frac{AB}{PQ}=\frac{32}{4} = 8$.
Step2: Calculate the missing side
The side $QR$ corresponds to side $BC$. So, $QR=\frac{BC}{8}$. Since $BC = 56$, then $QR=\frac{56}{8}=7$.
Answer:
7