Angle bisector

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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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