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SSC CHSL 2021 PYQ — Question 55

SSC CHSL - 12 April 2021 - Shift 1 • Quantitative Aptitude • Q55

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If △ABC, AD is a median. If points E, F, and G are midpoints of AD, AE, and DE, respectively, then what will be the area △BFG?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 14\frac{1}{4} (Area △ABC).

Let the length of AD = 4 units 

∵ E, F, and G are the midpoints of AD, AE, and DE respectively.

Therefore they divide the triangle ABD into 4 equal parts of the area.

 Area of triangle ABD = 1/2 × Area of triangle ABC (AD is the median)

⇒ 2 × Area of triangle BFG = 1/2 × Area of triangle ABC (AF = FE = EG = GD)

Area of triangle BFG = 1/4 × Area of triangle ABC.