MathDB

AO and HM meet on odot(ABC) - [RMO2, India]

Source: 0

December 31, 2011

geometrycircumcircleincentertrigonometryparallelogramEulergeometric transformation

Problem Statement

Let

ABC

be an acute angled scalene triangle with circumcentre

O

and orthocentre

H.

M

is the midpoint of

BC,

then show that

AO

and

HM

intersect on the circumcircle of

ABC.