Triangle Angle Bisector Theorem
Angle Bisector and Proportions
Illustrated Example 1
As you can see in the picture below, the angle bisector theorem states angle bisector, like segment AD in the picture below, divides the triangle proportionally.
Since you can cross multiply the proportion above, the example above is sometimes expressed
as
Example 2
The picture below shows the proportion in action .
Think about the Formula
Is AB an angle bisector? Look at the measurements of the side lengths below to help you decide.
AB is an angle bisector if it divides the triangle proportionally.
AB is not an angle bisector becuase it does not divide the triangle proportionally.
Is AB an angle bisector? Look at the measurements of the side lengths below to help you decide.
AB is an angle bisector if it divides the triangle proportionally.
Yes, AB is n angle bisector becuase it divides the triangle proportionally.
What is the length of XY
in the triangle below?
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