SarkariPYQ

SSC CHSL 2019 PYQ — Question 56

SSC CHSL - 3rd July 2019 - Shift 3 • Quantitative Aptitude • Q56

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Let ΔABC ~ ΔQPR and [{ar(ΔABC) / (arΔPQR)} = (9/4)]. If AB = 12 cm, BC = 6 cm and AC = 9 cm, then QR is equal to:

Show answer & explanation

Correct answer: C

Explanation

Correct Answer is option 3 i.e. 6 cm

Understanding

Application

Given:

ΔABC ~ ΔQPR,

[{ar(ΔABC) / (arΔQPR)} = (9/4)]

AB = 12 cm, BC = 6 cm and AC = 9 cm

Hence,

AC2/ QR2 = (9/4)

⇒ 81/QR2 = 9/4

⇒ QR2 = (4/9) × 81 = 36

⇒ QR = 6 cm