Let's say we start with a scalene triangle ABC, with no given angle measures or side lengths:
Then, we add 3 Isosceles triangles adjacent to this one, given that they have angle measures 30*30*120, but no side lengths:
The question is, how would one go about proving that triangle Alpha-Beta-Gamma is equilateral?:
I've been working on this for quite some time now, but I can't seem to figure it out.