Angle bisector

From AoPSWiki

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 .

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

• Angle Bisector Theorem
• Cevian
• Geometry
• Stewart's Theorem

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