Art of Problem Solving

Angle bisector: Difference between revisions

Joml88 (talk | contribs)
No edit summary
Anaxerzia (talk | contribs)
Line 5: Line 5:
== Features of Angle Bisectors ==
== Features of Angle Bisectors ==


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


==See also==
==See also==

Revision as of 19:15, 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 $\displaystyle AB$.

Features of Angle Bisectors

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

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

See also

This article is a stub. Help us out by expanding it.