Question

$\text{If}\Delta ABC\text{is similar to}\Delta PQR$ $\text{such that}2AB=PQ\text{and}BC=6cm,\text{then QR is equal to:}$

[1 Mark]

• A. 3 cm
• B. 6 cm
• C. 9 cm
• D. 12 cm

Answer 1

The correct option is D 12 cm

$\text{Given,}$

$\Delta ABC\text{is similar to}\Delta PQR\text{such}that$ $2AB=PQ\text{and}BC=6cm,$


$△ABC\sim △PQR$
$\Rightarrow \frac{AB}{PQ}=\frac{BC}{QR}$
(Ratio of corresponding sides of similar triangles are equal)

$\Rightarrow AB\times QR=BC\times PQ$
$\Rightarrow AB\times QR=BC\times 2AB$
$\Rightarrow QR=2BC=2\times 6=12cm$