```Date: Dec 27, 1997 10:13 PM
Author: Eileen Stevenson
Subject: to prove: rays bisecting 3 angles of a triangle meet at a single point

I have a geometry puzzle that I cannot seem to prove.I believe that if you bisect each of the 3 angles of a triangle with 3rays, those rays will meet at a single point.But I can't prove it.   Can anyone help?( related:  there are 2 other interesting points determined by a triangle:    1.  The center:  If you bisect a side of a triangle & draw a linepassing through the bisecting point and the oposite corner of the triangle, then do the same with the other 2 sides,  all three will intersect at asingle point, the center of the triangle.   This is generally NOT the samepoint as I am asking about above.    2.  The center of the circle defined by the triangle.  3 pointsdetermine a circle. If you bisect the 3 sides with perpendicular lines, they will meet at a point that determines the center of the unique circlespecified by the triangle.I can prove these 2, & will if anyone cares,  but not my first queston.Any help is appriciated.tia.
```