MathDB

TOT 139 1987 Spring Main J4 altitudes bisector passes through circumcenter

Source:

April 17, 2020

geometryangle bisectoraltitudeCircumcentercircumcircle

Problem Statement

Angle

A

of the acute-angled triangle

ABC

equals

60^o

. Prove that the bisector of one of the angles formed by the altitudes drawn from

B

and

C

, passes through the circumcircle 's centre.
(V . Pogrebnyak , year 12 student , Vinnitsa,)