Question

Find the area of equilateral triangle who's side is a usingherons formula

Answer 1

A=34a2=34·272≈315.66626

Answer 2

S=a+b+c/2=A+a+a/2=3a/2....................................................... Area =root of s (s-a)(s-b)(s-c)=root 3a/2 (3a/2-a)(3a/2-a) (3a/2-a)=root3a/2×3×3a/2-a=root9a^2/2=3a/2---(ans)