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      Question

      AC and CE are the medians of triangle ABD and ACD

      respectively. If area of triangle ACE is 15 cm 2 , then find the area of triangle ABD.
      A 15 sq cm Correct Answer Incorrect Answer
      B 30 sq cm Correct Answer Incorrect Answer
      C 90 sq cm Correct Answer Incorrect Answer
      D 60 sq cm Correct Answer Incorrect Answer

      Solution

      Median of a triangle divides it into two triangles of equal area.

      So, area of triangle ACD = 2 X area of triangle ACE = 2 X 15 = 30 cm 2

      Again, area of triangle ABD = 2 X area of triangle ACD = 2 X 30 = 60 cm 2

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