![](http://sciences.heptic.fr/wp-content/uploads/2021/06/p326_equilateral_triangle.gif)
From Gogeometry Using : Additional points Similar triangles Equilateral triangle Define 0 middle of BC. O is the center of semicircle OD diameter BC Define a=OB=OD=OC => AB=AC=BC=2a Arc BD=arc DE=arc EC => ∠BOD=∠DOE=∠EOC=Π/3 OB=OD=a and ∠BOD=Π/3 =>BD=a, ΔBOD is equilateral and BD//AC In the same way, DE=a, ΔDOE […]