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Q.

In an equilateral triangle 3 coins of radii "1" are kept so that they touch each other and also each coin touches two sides of the triangle, then the area of the triangle is

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a

3+ 7 3 4   

b

6+4 3  

c

12+ 7 3 4  

d

4+2 3  

answer is B.

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Detailed Solution

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 The length of each side of the equilateral triangle is  2+2cot⁡π/6=21+3.   Area of equilateral triangle=34a2=34(2(1+3))2=34×4(1+3)2=3(1+3)2=3(1+3+23)=43+6 sq units. 


 
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