Using Stewart’s Theorem, prove the following useful fact about an angle bisector of a triangle. (I call it the second half of the Angle Bisector Theorem.) In the Trinagle ABC , if AD bisects Angle BAC , then prove that : : : : :
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Step-by-step explanation:
The Angle-Bisector theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides. The following figure illustrates this. The Angle-Bisector theorem involves a proportion — like with similar triangles.
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