an equilateral triangle has an area of 55 find the length of its sides

Question

There is an equilateral triangle that has an area of 55km squared. I need to find the length of its sides.

Answer 1

If x is the side length of the equilateral triangle, the height (perpendicular bisector of a side) is √x²-¼x²=x√3/2.

The area of a triangle is ½base×height=(x/2)(x√3/2)=x²√3/4. So x²√3/4=55, x²=220/√3=127.02 approx. Therefore x, the side length=√127.02=11.27 approx.

Answer 2

X = 11.27