WBCS.LIVE practice question

ΔABC ~ ΔQPR and (Area of ΔABC) : (Area of ΔPQR) is = 3 : 2. If AB = 12 cm, BC = 10 cm, and AC = 9 cm, then what is the length (in cm) of QR.

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

$8 \sqrt{3}$ $8 \sqrt{3}$
$3 \sqrt{6}$
$\frac{10}{\sqrt{3}}$
$\frac{20}{\sqrt{3}}$

Correct answer and explanation

Correct answer: $3 \sqrt{6}$