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Home  Analytic Geometry Triangle Incircle and Angle Bisectors |
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| See also: Circumcircle of a Triangle, Excircle of a Triangle, Properties of a Right Triangle |   |
Incircle and Angle Bisectors of a Triangle
The angle bisectors of a triangle are the lines which cut the inner angles of a triangle into equal halves. The angle bisectors are concurrent and intersect at the center of the incircle (incenter S).
Each side of a triangle is cut by the corresponding angle bisector into two segments whose lengths are related to the lengths of the adjacent sides:
The lengths of the angle bisectors are given by   
The radius r of the incircle can be calculated from the area A of the triangle: 
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Last Update: 2007-Sep-03