Question

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

Answer 1

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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