Question

The perimeter of an equilateral triangle is
$\sqrt{3 } \: times$
it's area. Find the length of each side.

Answer 1

Hi ,

Let the side length of an equilateral

Triangle = a units

According to the problem given ,

perimeter = √3 times of the area

3a = ( √3 ) × ( √3/4 ) a²

3a = ( 3/4 ) a²

after cancellation ,

4 = a

Therefore ,

side if the equilateral triangle = a = 4 units.

I hope this helps you.

:)