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Question

If the length of a median of an equilateral triangle is x cm, then its area is

(a) x2

(b) 32x2

(c) x23

(d) x22

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Solution

We are given the length of median of an equilateral triangle by which we can calculate its side. We are asked to find area of triangle in terms of x

Altitude of an equilateral triangle say L, having equal sides of a cm is given by, where, L = x cm

Area of an equilateral triangle, say A1 having each side a cm is given by

Since .So

Therefore, the answer is (c).


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