MathDB
ASU 135 All Soviet Union MO 1970 median, bisector, height concurrent

Source:

June 24, 2019
geometrymedianconcurrentangle bisectoraltitude

Problem Statement

The angle bisector [AD][AD], the median [BM][BM] and the height [CH][CH] of the acute-angled triangle ABCABC intersect in one point. Prove that the BAC>45o\angle BAC> 45^o.