Generalization

The same generalization holds for all triangles if we consider the ratio of the sizes of the triangle. For an equilateral, the ratio was 1:1:1. For the general case, I simple multiple the length of one side by the segment which is perpenducular to it.

m = j*i+k*g+l*h
n = j*i+k*g-l*h
o = j*i-k*g-l*h
Simialrly or exiting the triangle in different places.

Michael T. Bendorf, 19 Sept 2006, Created with GeoGebra