Difference between revisions of "Angle bisector"

Revision as of 13:23, 4 December 2007

For an angle $\angle ABC$ , the angle bisector of $\angle ABC$ is the line from B such that the angle between this line and $BC$ is equal to the angle between this line and $AB$ .

Features of Angle Bisectors

Triangle ABC with incenter I, with angle bisectors (red), incircle (blue), and inradii (green)

In a triangle, the angle bisectors (which are cevians) will all intersect at the incenter of the triangle.

@@ Line 1: / Line 1: @@
-For an [[angle]] <math>\displaystyle \angle ABC</math>, the angle bisector of <math>\displaystyle \angle ABC</math> is the line from B such that the angle between this line and <math>\displaystyle BC</math> is equal to the angle between this line and <math>\displaystyle AB</math>.
+For an [[angle]] <math>\angle ABC</math>, the angle bisector of <math>\angle ABC</math> is the line from B such that the angle between this line and <math>BC</math> is equal to the angle between this line and <math>AB</math>.
 <center>[[Image:Anglebisector.png]]</center>
@@ Line 16: / Line 16: @@
 {{stub}}
+[[Category:Geometry]]

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Difference between revisions of "Angle bisector"

Revision as of 13:23, 4 December 2007

Features of Angle Bisectors

See also