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Triangle ABC with D, E and F the midpoints of BC, AC, and AB. G is the midpoint of AD such that the ratio AG:GD =2:1, VECtors AB =p and BC =q
Prove that B, G and E are collinear. prove the same results for point C, G and F

  • Advanced Maths (Vectors) AQA Level - ,

    Something is not right here, ....
    If D is the midpoint of BC , then AD is clearly a median

    you then say, G is the midpoint of AD such that
    AG:GD = 2:1
    From the 2:1 ratio we know that G must be the centroid, which of course cannot be the midpoint.

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