Question

Prove that the area of a equilateral triangle is equal to √3/4 ρ, where l is the length of a side of triangle.

Answer 1

area of equilateral triangle=2times half area of half triangle
area of half triangle=1/2xHeightxbase=1/2xroot3/2lxl/2
total area=2x1/2xroot3l/4=(root3/4)l