posted by G .
Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC.
a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if (triangle) ABC is not isosceles (or equilateral).
b) Show that, regardless of choice of (triangle) ABC, we always have AX = BY = CZ