Angle Bisector
The (interior) bisector of an Angle is the Line or Line Segment which cuts it into two equalAngles on the same ``side'' as the Angle.
The length of the bisector of Angle 
in the above Triangle 
is given by
where
and 
.The angle bisectors meet at the Incenter 
, which has Trilinear Coordinates 1:1:1.See also Angle Bisector Theorem, Cyclic Quadrangle, Exterior Angle Bisector, Isodynamic Points,Orthocentric System, Steiner-Lehmus Theorem, Trisection
References
Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., pp. 9-10, 1967. Dixon, R. Mathographics. New York: Dover, p. 19, 1991. Mackay, J. S. ``Properties Concerned with the Angular Bisectors of a Triangle.'' Proc. Edinburgh Math. Soc. 13, 37-102, 1895.
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