Date: Dec 22, 2011 5:24 PM
Author: Steve B
Subject: Re: A simple triangle dissection problem

Locate the centroid of ABC. Construct the lines passing through the centroid parallel to each of the three sides of ABC. The six points of intersection between those lines and the sides of ABC trisect the the sides of ABC.  The trisection points and the centroid determine nine congruent triangles similar to ABC. That is so regardless of the size of ABC's angles.