Question

Using heron's formula find the area of an equilateral triangle of side a unit

Answer 1

using herons formula

side =(a+b+c)/2

side (s)=(1+1+1)/2=3/2

area=whole root{s(s-a)(s-b)(s-c)}

area=root{3/2(3/2-1)(3/2-1)(3/2-1)}

area=root{3/2(1/2)(1/2)(1/2)}

area=root{3/16}

area=root3/4

{hence proved}

Answer 2

Answer:

√3/4×a^2.

Step-by-step explanation:

Please find the attached image.