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Triangle Angle Bisector Theorem

Angle Bisector and Proportions

The angle bisector theorem states that if a ray or segment bisects an angle of a triangle then it divides the two segments on either side proportionally.

     Illustrated Example  



  • By the angle bisector theorem, the proportions below hold true.
    Picture of Angle Bisector Theorem
    Since you can cross multiply the proportion above, the example above is sometimes expressed as
    CADB = CDBA

What is thelength of XY?
 Answer 
angle bisector theorem problem


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