Three circular coins each of radii 1 cm are kept in an equilateral triangle so that…

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Three circular coins each of radii 1 cm are kept in an equilateral triangle so that all the three coins touch each other and also the sides of the triangle. Area of the triangle is (1) (4+23) cm2(4 + 2\sqrt{3}) \text{ cm}^2 (2) 14(12+73) cm2\frac{1}{4}(12 + 7\sqrt{3}) \text{ cm}^2 (3) 14(48+73) cm2\frac{1}{4}(48 + 7\sqrt{3}) \text{ cm}^2 (4) (6+43) cm2(6 + 4\sqrt{3}) \text{ cm}^2

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