Internal bisectors and incenter of a triangle


Assignment:

Q1- Given triangle ABC, prove that an internal bisectors of an angle of a triangle divides the opposite sides (internally) into two segments proportional to the adjacent sides of the triangle. That is prove that DB/DC = AB/AC. (D is the point where e internal bisector of
Q2- Given triangle ABC with in-center I prove that < BIC = 90 + ½ (< BAC)

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Mathematics: Internal bisectors and incenter of a triangle
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