Given a triangle whose angles are less than 120 degrees.
Find the point inside the triangle such that the sum of distances to all three vertices is minimum.
Let ABC be the given triangle. Construct
equilateral triangles ABC' and BCA'
externally on triangle ABC. The
intersection of AA' and CC' is the
Fermat point of triangle ABC and is
the desired point.

Posted by Bractals
on 20100522 16:40:10 