Question

The height of an equilateral triangle is equal to the diagonal of a square. The ratio of the areas of the triangle and the square is​

Answer 1

Step-by-step explanation:

Let x be the side of the square.

Therefore,

Area of the square =x^2

And diagonal of the square = 2–√x

Height of the equilateral triangle = 2–√x

Side of the equilateral triangle =23√×2–√x=22√3√x

Area of the equilateral triangle

=3√483x2

=23√x2

Area of the triangle/area of the square =

=23√x2x2

=23√ .

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