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Find the area of the triangle:

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The line joining the vertex of the triangle and the centre of the coin makes angle π/6 with the sides of the triangle.

The length of each side of the equilateral triangle is 2 + 2 cot π/6 = 2(1 + √3).

Hence its area is √3/4 * (side length)2 = √3/4*4(1+√3)2 = 6+ 4√3

by (10 points)
How u take the sides of the equilateral triangle as  2+2cot pi/6?
by (65.1k points)
check the figure carefully and considering angle for the side you will get the length as given in answer

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