In the equilateral triangle ABC given below AD DB and AE EC If I is the length of a side of the tria...........

Quantitative Aptitude (CDS) Mensuration 2D

In the equilateral triangle ABC given below, AD = DB and AE = EC. If I is the length of a side of the triangle, then what is the area of the shaded region?

$\frac{3\sqrt{3}\: l^{2}}{16}$

$\frac{3\: l^{2}}{16}$

$\frac{3\sqrt{3}\: l^{2}}{32}$

$\frac{3 l^{2}}{32}$

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Explanation:

AD =DB = l/2 (since AB = l, given in the question)

Area of shaded region = Area of triangle (ABC – ADE) \ = (√3l²/4) – (√3/4 * (l/2)²) = 3 √3l²/16

By: Munesh Kumari

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In the equilateral triangle ABC given below AD DB and AE EC If I is the length of a side of the tria...........

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Explanation:

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