Angle bisector

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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 $AB$.

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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