Question

$\Delta ABC\sim \Delta PQR,\text{If BC = 14 cm and}$
$\frac{AB}{PQ}=2,\text{then QR =}$ cm.

• A. 3
• B. 5
• C. 7

Answer 1

The correct option is C 7

Given, $\Delta ABC\sim \Delta PQR$. So ratio of their corresponding sides are equal.
$\therefore \frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}$
Given, $\frac{AB}{PQ}=2$
$\therefore \frac{BC}{QR}=2$
$\Rightarrow \frac{14}{QR}=2$
$\Rightarrow QR=\frac{14}{2}$
$\Rightarrow QR=7cm$