The Triangle Angle Bisector Theorem, also known as the Angle Bisector Theorem, states that if a line segment bisects an angle of a triangle, then it divides the opposite side of the triangle into two segments that are proportional to the other two sides of the triangle. In other words, if a line segment AD bisects angle A of triangle ABC, then:
AB/AC = BD/DC
where BD and DC are the two segments of side BC that are created by the angle bisector AD.
Theorem 7-5 Triangle Angle Bisector Theorem
Definition
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1 answer