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. ✪ ✪ ✪ ✪ ✪ Hidden Content: **Hidden Content: Content of this hidden block can only be seen by members of (usergroups: V.I.P Downloader).** Theo LTTK Education
