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In triangle ABC, AB = 8, AC = 12 and BC = 15. The bisector of angle A meets BC at D. What is the length of BD?

Competition practiceGeometry
  • A9
  • B6
  • C7.5
  • D5

Step-by-Step Solution

By the angle-bisector theorem, BD : DC = AB : AC = 8 : 12 = 2 : 3. So BD = (and DC = 9).
Answer: B) 6

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