Question

if the side of an equilateral triangle ia m unit, find the area of the triangle

Answer 1

Let all the sides be a, a, a
So by herons formula
S=(a+a+a) /2
=3a/2
S-a=a/2
S-b=a/2
S-c=a/2
Area
$\sqrt{s(s - a)(s - b)s - c)}$
$\sqrt{3 \div 2(1 \div 2)(1 \div 2)(1 \div 2)}$
$1 \div 4 (\sqrt{3a {}^{4} } )$
$\sqrt{3} a {}^{2} \div 4$