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    Centroid is the Balance Point of a Triangle

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    Need to prove that the centroid is the balance point of a triangle using only GEOMETRY with no vector addition allowed and I can't use the "equal areas" argument as far as the 6 triangles that are made with the medians. Thanks much

    © BrainMass Inc. brainmass.com October 9, 2019, 3:51 pm ad1c9bdddf
    https://brainmass.com/math/triangles/centroid-balance-point-triangle-15225

    Solution Preview

    The proof is attached below. It can also be found at

    http://members.aol.com/rmp605/Geometry/pow970714.html

    The basic idea is to construct the triangle from a parallelogram ...

    Solution Summary

    The expert proves that the centroid is the balance point of a triangle.

    $2.19