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      Question

      If in a ╬ФABC, the external angle bisector of angle A,

      meets BC when extended at a point D, BD = 9 cm , BC = 5 cm then what is AB:AC ?
      A 3:3 Correct Answer Incorrect Answer
      B 3:5 Correct Answer Incorrect Answer
      C 5:4 Correct Answer Incorrect Answer
      D 5:3 Correct Answer Incorrect Answer

      Solution

      ┬а Here CD = BD- BC = 9 - 5 = 4 cm, By External angle bisector theorem, AB: AC = BD:CD = 5:4

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