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Angle Bisectors in a Triangle

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The angle bisectors of a triangle ABC meet in a single point called the incenter. The incenter M is equidistant from the three sides of the triangle. The incenter is the center of the incircle, the largest circle inside ABC. The incircle is tangent to all three sides.

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You can change the locations of E, H, and K on the angle bisectors.

If DE and EF are the perpendiculars from E to AC and AB, then |DE| = |EF|. Similarly, |GH| = |HI| and |JK| = |KL|.

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Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

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For more information visit Anatomy of Triangles.

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