Q22 of 99 Page 267

A square drawn on height of equilateral triangle. What is the ratio of area of triangle and square.

Height of equilateral triangle =


Given the height of the triangle is the side of square


Area of square = side2


⇒ Area of square=


⇒ Area of square =


Area of equilateral triangle =


Now


=


=


Hence the ratio of the two areas = √3:3


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22

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