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CDS 2022 · PYQ · Geometry · medium

In a triangle ABC, AB = 16 cm, AC = 12 cm and AD is the bisector of ∠A. If BD = 4 cm, then what is CD equal to?

  1. A.3 cm✓ Correct
  2. B.2.5 cm
  3. C.2 cm
  4. D.3.5 cm

Explanation

By angle bisector theorem, BD/CD = AB/AC, so 4/CD = 16/12, CD = 3 cm.
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