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An equilateral triangle of areas 4 \sqrt{3} \mathrm{cm}^{3} shares same base with a square. What is the area of square?Find the ratio of area of triangle to that of square.

Answer»

area of equilateral triangle = sq.root(3)/4 * side2so, 4sq.root(3) cm2= sq.root(3)/4 * side2on solving we get side = 4 cmnow base of equilateral triangle is the side of a square.so, side of square = 4 cmarea of square = 16 cm2reqd. ratio = (√3) : 4



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