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The Triangle Angle Bisector Theorem states that an angle bisector divides the opposite side into segments proportional to the other two sides of the triangle.

Triangle Angle Bisector Theorem diagram showing triangle ABC with angle bisector AD dividing side BC into segments BD and DC, illustrating the proportion BD/DC = AB/AC.

Triangle Angle Bisector Theorem diagram showing triangle ABC with angle bisector AD dividing side BC into segments BD and DC, illustrating the proportion BD/DC = AB/AC.

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