Difference between revisions of "2008 IMO Problems/Problem 1"
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Revision as of 11:03, 14 July 2011
Problem 1
An acute-angled triangle has orthocentre . The circle passing through with centre the midpoint of intersects the line at and . Similarly, the circle passing through with centre the midpoint of intersects the line at and , and the circle passing through with centre the midpoint of intersects the line at and . Show that , , , , , lie on a circle.