JEE Advance - Mathematics (2005 - No. 12)
In an equilateral triangle, $$3$$ coins of radii $$1$$ unit each are kept so that they touch each other and also the sides of the triangle. Area of the triangle is
$$4 + 2\sqrt 3 $$
$$6 + 4\sqrt 3 $$
$$12 + {{7\sqrt 3 } \over 4}$$
$$3 + {{7\sqrt 3 } \over 4}$$