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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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