Wolfram Demonstrations Project

The internal bisector of an angle of a triangle divides the opposite side in the ratio of the sides containing the angle bisected. In symbols, if

BAD =

CAD, then BD/DC = AB/AC.

Drag the orange point to change the figure.

Contributed by: Jay Warendorff

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Common Core State Standards for Mathematics

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Division of the Opposite Side by an Angle Bisector