Investigate Triangle Angle-Bisector Theorem

Select the side lengths and ratios check to see the measure.
What do you notice about [math]\angle[/math]ABD and [math]\angle[/math]CBD? What does this tell you about segment BD?
Move the points A, B, or C to create different triangles. Compare the ratios of BA to BC and DA to DC. What can you conclude?
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Information: Investigate Triangle Angle-Bisector Theorem