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 3

rays, 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 line

passing 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 a

single point, the center of the triangle. This is generally NOT the same

point as I am asking about above.

2. The center of the circle defined by the triangle. 3 points

determine a circle. If you bisect the 3 sides with perpendicular lines,

they will meet at a point that determines the center of the unique circle

specified by the triangle.

I can prove these 2, & will if anyone cares, but not my first queston.

Any help is appriciated.

tia.