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14. the following two triangles are similar. side ab = 25, side pq = 5,…

Question

  1. the following two triangles are similar. side ab = 25, side pq = 5, and side bc = 15. what is the length of side qr?

Explanation:

Step1: Find the scale factor

Since the triangles are similar, the ratio of corresponding sides is equal. The ratio of AB to PQ is $\frac{25}{5} = 5$.

Step2: Use the scale factor to find QR

The ratio of BC to QR should be equal to the scale factor. Let QR be $x$. So, $\frac{15}{x} = 5$. Solving for $x$, we get $x = \frac{15}{5} = 3$.

Answer:

3