(139) 4

Part of 1987 Tournament Of Towns

Problems(1)

TOT 139 1987 Spring Main J4 altitudes bisector passes through circumcenter

Source:

A

of the acute-angled triangle

ABC

60^o

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

B

C

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

geometryangle bisectoraltitudeCircumcentercircumcircle