AoPSWiki
Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's NEW Intermediate Counting & Probability by David Patrick.
Personal tools

Angle bisector

From AoPSWiki

This is an AoPSWiki Word of the Week for June 6-12

For an angle , the angle bisector of is the line from B such that the angle between this line and is equal to the angle between this line and .

Image:Anglebisector.png

Features of Angle Bisectors

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

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

The Art of Problem Solving Bookstore now offers two titles from the creator of Math Olympiads in the Elementary and Middle Schools. Click here and here to check them out.
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us