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SSC CHSL 2024 PYQ — Question 64

SSC CHSL - 02 July 2024 Shift 1 • Quantitative Aptitude • Q64

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The areas of two similar triangles ΔPQR and ΔXYZ are 12.96 cm2 and 635.04 cm2, respectively. If QR = 2.9 cm, then the length (in cm) of YZ equals:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 20.3.

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore,

(Area of ΔPQR)/ (Area of ΔXYZ) = (QR / YZ)2.^2.

12.96 / 635.04 = (2.9 / YZ)2.^2..

YZ2.^2. = 2.92.^2. × 635.04 / 12.96.

YZ2.^2. = 8.41× 49.25.

YZ2.^2. = 414.6625.

YZ = √414.6625.

YZ ≈ 20.36 cm.

Therefore, the length of YZ is approximately 20.36 cm.