Difference between revisions of "Angle bisector"

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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>.
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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>
 
<center>[[Image:Anglebisector.png]]</center>
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[[Category:Geometry]]

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 $AB$.

Anglebisector.png

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.

See also

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