Question

the area of a square is equal to the area of an equilateral triangle with 2 cm side, then each side of the square will be.... cm
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Answer 1

Area of equilateral triangle :-

$\boxed{ \frac{ \sqrt{3} }{4} \times a}$

[ Here a is the equal side of the triangle]

a = 2cm

$\frac{ \sqrt{3} }{4} \times 4 \\ = \sqrt{3}$

[ Estimated value of √3 is 1.732 ]

So area ≈ 1.73

→Given that Area of Square and Area of Triangle are equal.

Area of square :-

a²

[ Here a is the equal side of the square]

According to the question:-

Area of Square = Area of Equilateral Triangle

a² = 1.73

a = √1.73

$\huge \boxed{a = 1.315}$

I hope it helped you ✌.