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      Question

      In a triangle ABC, AB = AC. The length of the median

      from A to BC is 9 cm and the angle between the median and AB is 60°. Find the length of AB.
      A 8.5 cm Correct Answer Incorrect Answer
      B 18 cm Correct Answer Incorrect Answer
      C 11 cm Correct Answer Incorrect Answer
      D 9.4 cm Correct Answer Incorrect Answer

      Solution

      Given: AB = AC, median AD = 9 cm, ∠DAB = 60° In ΔABD: cos(60°) = AD / AB AB = AD / cos(60°) AB = 9 / (1/2) AB = 18 cm

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