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SSC CHSL 2021 PYQ — Question 66

SSC CHSL - 15 April 2021 - Shift 1 • Quantitative Aptitude • Q66

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Δ\DeltaABC ~  Δ\DeltaEDF, Area ABC : Area DEF = 49 : 4, If AB, AC, BC are respectively, 10 cm, 14 cm, 21 cm then what is the length (in cm) of EF?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 4.

Area ABC/Area DEF = (AC/EF)2

⇒ 49/4 = (AC/EF)2

⇒ √(49/4) = 14/EF 

⇒ 7/2 = 14/EF 

⇒ 1/2 = 2/EF 

⇒ EF = 4 cm