MathDB

2

Part of 1998 Italy TST

Problems(1)

if triangle HML is equilateral, then so is triangle ABC

Source: Italy TST 1998 p2

2/16/2020
In a triangle ABCABC, points H,M,LH,M,L are the feet of the altitude from CC, the median from AA, and the angle bisector from BB, respectively. Show that if triangle HMLHML is equilateral, then so is triangle ABCABC.
geometryEquilateralMediansangle bisectoraltitude