1. An equilateral triangle and regular hexagon have the same perimeter. The ratio of the area of the triangle to that of the hexagon is
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By: anil on 05 May 2019 02.25 am
Let side of equilateral triangle = $$a$$ and side of regular hexagon = $$s$$ According to ques, => $$3a=6s$$ => $$a=2s$$ Now, ratio of the area of the triangle to that of the hexagon : = $$(frac{sqrt3}{4} a^2):(frac{3sqrt3}{2}s^2)$$ => $$frac{1}{2} (2s)^2=3s^2$$ => $$2:3$$ => Ans - (B)
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