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Proportions with Angle Bisectors ( Read ) | Geometry | CK-12
Foundation Skip Navigation  Proportions with Angle Bisectors
Practice Proportions with Angle Bisectors Practice Now
Proportions with Angle Bisectors  What if you were told that a
ray was an angle bisector of a triangle? How would you use this
fact to find unknown values regarding the triangle's side
lengths? After completing this Concept, you'll be able to solve
such problems.  Watch This  CK-12 Foundation:
Chapter7ProportionswithAngleBisectorsA  James Sousa: Triangle
Angle Bisector Theorem     By definition, \overrightarrow{AC}
divides \angle BAD equally, so \angle BAC \cong \angle CAD . The
proportional relationship is \frac{BC}{CD}=\frac{AB}{AD} .
Example A  Find x .  Because the ray is the angle bisector it
splits the opposite side in the same ratio as the sides. So, the
proportion is:   Example B  Determine the value of x that would
make the proportion true.  You can set up this pro