Engineering Board Exam Reviewer · Properties of Triangles · medium

In triangle ABC, BC=6, CA=9 and AB=10. The bisector of angle C meets AB at D. Find the length of DB.

  1. 6
  2. 5
  3. 4
  4. 3.6

Answer

C. 4

Solution

By the angle bisector theorem, AD/DB=CA/CB= 96. So DB=10·6/9+6=4.

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