Trilinear distance inequalities for the symmedian point, the centroid, and other triangle centers - Clark Kimberling

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    Trilinear distance inequalities for the symmedian point, the centroid, and other triangle centers - Clark Kimberling​

    Seven inequalities which appear to be new are derived using Hőlder's inequality and the arithmetic-mean--geometric- mean inequality. In particular, bounds are found for power sums x^q+y^q+z^q, where x,y,z are the directed distances of a point to the sidelines of a triangle ABC, and the centroid maximizes the product xyz.

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    LTTK CTV, 9/10/19
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