Mathematics

Mathematics

Problem

Converse (Internal Angle Bisector Theorem): In △ABC\triangle ABC, if DD divides BC‾\overline{BC} internally in the ratio ABAC\frac{AB}{AC} then AD‾\overline{AD} is internal bisector of ∠A\angle A. Prove the converse. Hint: Corresponding to each proof of main theorem, proof of converse using same ideas is possible.

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