Question

If side of an equilateral triangle is equals to
diagonal of the square, whose side a units
then area of an equilateral triangle is​

Answer 1

Step-by-step explanation:

equal

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Answer 2

Step-by-step explanation:

If x units is the length of the side of the square then the length of it's diagonal is √2.x units

So length of the side of the equilateral triangle is √2.x unis.

Area of the equilateral triangle= (√3/4)a^2

= (√3/4)2x^2 = (√3/2)x^2

Area of the square is x^2

So the required ratio is (√3/2)x^2 : x^2

= √3:2