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      Question

      If in a ΔABC, the external angle bisector of angle A,

      meets BC when extended at a point D, BD = 5cm , BC = 3 cm then what is AB:AC ?
      A 5:3 Correct Answer Incorrect Answer
      B 3:2 Correct Answer Incorrect Answer
      C 3:8 Correct Answer Incorrect Answer
      D 2:3 Correct Answer Incorrect Answer

      Solution

        Here CD = BD- BC = 5 - 3 = 2cm, By External angle bisector theorem, AB: AC = BD:CD = 3:2

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