Prove area of equilateral triangle by using heron formula

1.	Prove area of equilateral triangle by using heron formula
Answer» Please give thanks to the first answer^^^☆☆☆☆ As we know the equilateral triangle have all its sides equal. To find the\xa0area of equilateral triangle\xa0let us first find the semi perimeter of the equilateral triangle will be:s = (a+a+a)/2s=3a/2where a is the length of the side.Now, as per the heron’s formula, we know;Area=√s(s−a)(s−b)(s−c)\xa0Since, a = b = cTherefore,A =\xa0√[s(s-a)3]which is the required formula.

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