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Wednesday, 5 June 2013

Angle Bisector theorm

What is the Angle Bisector theorem?

Answer: As you can see in the picture below, the angle bisector theorem states that the angle bisector, like segment AD in the picture below, divides the sides of the a triangle proportionally.



Example 1
The picture below shows the proportion in action .


Is side AB an angle Bisector?


Look at the measurements of the side lengths below to help you decide.


How about side AB below? Is it an angle bisector? 

Practice Problems


Problem 1)

Use the angle bisector theorem to find the missing side length of thetriangle below


Side Splitter Theorem Picture

Problem 2)
What is the length of XY in the triangle below?

angle bisector theorem problem
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