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SSC CHSL 2024 PYQ — Question 60

SSC CHSL - 02 July 2024 - Shift 3 • Quantitative Aptitude • Q60

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If Δ ABC ~ Δ QRP; area of Δ ABC : area of Δ PQR = 9 : 4; AB = 18 cm and BC = 15 cm, then find the length of PR. 

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 10 cm.

The ratio of the areas of △ABC and △PQR = 9 : 4

The ratio of the corresponding sides is the square root of the ratio of the areas.

Hence

Ratio of sides = 94\sqrt{\frac{9}{4}} = 3/2

Since △ABC∼△PQR, the ratio of corresponding sides is the same.

The side corresponding to BC in △ABC is PR in △PQR.

So

⇒ BC/PR = 3/2

⇒ 15/PR =3/2

⇒ PR = (15 × 2)/3 = 10 Cm