Question

draw an equilateral triangle of each side 6 cm and construct a square of the same area of the triangle

Answer 1

The area of an equilateral triangle of each side 6 cm will be:

$\frac{\sqrt{3} a^{2} }{4}$ where a is the side.

Therefore area = $\frac{\sqrt{3} 6^{2} }{4}$ = $9\sqrt{3}$

That means the area of the square wil also be $9\sqrt{3}$ = 15.588

Now to find the value of side of the square: $\sqrt{15.588}$ = 3.94 units.

Now it is easy to draw the sqaure since you've the measure of its side.