Geometrymedium · Past Paper

In triangle ABC, the bisector of angle A meets BC at D. If AB=10, AC=14, and BC=6, find BD.

A2.5
B3.5
C3
D4.5

✓ Correct Answer: A2.5

By Angle Bisector Theorem: BD/DC = AB/AC = 10/14 = 5/7. BD = (5/12)*6 = 2.5.

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