Medians and Midpoints
Consider the following statements:
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Let D be a point on the side BC of a triangle ABC. IF the area of the triangle of ABD = area of triangle ACD, then for any point O on AD the area of triangle ABO = area of triangle ACO.
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If G is the point of concurrence of the medians of a triangle ABC, then area of triangle ABG = area of triangle BCG = area of triangle ACG.
Which of the the above statements is/are correct?
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