MathDB
compare angles between altitude-median (2012 Kyiv City MO Round2 10.4)

Source:

August 2, 2020
geometryanglesgeometric inequality

Problem Statement

In the triangle ABCABC with sides BC>AC>ABBC> AC> AB the angles between altiude and median drawn from one vertex are considered. Find out at which vertex this angle is the largest of the three.
(Rozhkova Maria)