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