Difference between revisions of "Angle bisector"

(Features of Angle Bisectors)
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== Features of Angle Bisectors ==
 
== Features of Angle Bisectors ==
  
[[Image:Incenter.PNG|left|thumb|300px|Triangle ''ABC'' with incenter ''I'', with angle bisectors (red), incircle (blue), and incenter (green)]]
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[[Image:Incenter.PNG|left|thumb|300px|Triangle ''ABC'' with [[incenter]] ''I'', with angle bisectors (red), [[incircle]] (blue), and inradii (green)]]
  
 
In a triangle, the angle bisectors (which are [[cevian|cevians]]) will all intersect at the [[incenter]] of the triangle.
 
In a triangle, the angle bisectors (which are [[cevian|cevians]]) will all intersect at the [[incenter]] of the triangle.

Revision as of 19:32, 15 September 2007

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

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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