AoPSWiki
Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's 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 \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.

Image: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

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

Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us