2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174318In the article we prove some inequalities that contain relations between altitudes and medians in triangle. At least one of these inequalities has not been considered in the literature before and the main theorem has also not been proved elsewhere in that form. Some immediate corollaries have been presented as well.7 pages, 7 figures, to appear in J. of GeomMetric Geometry51M04, 51M05, 51M16text