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CDS 2022 · PYQ · Geometry · medium

In a triangle ABC, AD is the bisector of ∠BAC. If AB = 12 cm, BD = 10 cm and DC = 5 cm, then what is the perimeter of the triangle?

  1. A.33 cm✓ Correct
  2. B.30 cm
  3. C.35 cm
  4. D.31 cm

Explanation

By angle bisector theorem, AB/AC = BD/DC, so 12/AC = 10/5 = 2, AC = 6. BC = 15. Perimeter = 12+6+15 = 33.
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