Question

Explain why equilateral triangle is root3/4 square

Answer 1

Derivation of Area of an equilateral triangle ; Let ABC be an equilateral triangle with sides 'a'. Now, draw AD perpendicular to BC. We will find area of ΔABD using pythagorean theorem, according to which, the square of hypotenuse is equal to the sum of the squares of the other two sides

Answer 2

put eqal side "a " in heron formula on the place of all sides you will easiely get the answer