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SSC CGL 2022 PYQ — Question 8

SSC CGL Tier II - Quant - 3 Feb 2022 • Quantitative Aptitude • Q8

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In Δ\DeltaABC, AB = 48 cm, BC = 55 cm and AC = 73 cm. If O is the centroid of the triangle, then the length (in cm) of BO (correct to one decimal place) is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 24.3.

(48 - 55 - 73) is a Pythagorean triplet.

So AD = DC = BD = 73/2

BO = 2/3 of BD = 2/3 × 73/2 = 24.3.