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+8 votes
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asked in Mathematics by (8k points)

Find the area of the triangle:

1 Answer

+10 votes
answered by (14.7k points)
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Best answer

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

commented by (10 points)
How u take the sides of the equilateral triangle as  2+2cot pi/6?
commented by (70.7k points)
check the figure carefully and considering angle for the side you will get the length as given in answer

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