Art of Problem Solving
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Angle Bisector Theorem: Difference between revisions

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The '''Angle Bisector Theorem''' states that given triangle <math>\triangle ABC</math> and angle bisector AX, where X is on side and <math>\angle A</math> is the angle bisected, and where X divides side a into M and N, then <math>\frac{b}{m}=\frac{c}{n}</math>.
The '''Angle Bisector Theorem''' states that given [[triangle]] <math>\triangle ABC</math> and [[angle bisector]] AX, where X is on side BC, then <math>\frac{AC}{CX}=\frac{AB}{BX}</math>.

Revision as of 14:43, 21 June 2006

The Angle Bisector Theorem states that given triangle $\triangle ABC$ and angle bisector AX, where X is on side BC, then $\frac{AC}{CX}=\frac{AB}{BX}$.