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ABC is equidistant from the circumcenter O

Source: IMO Shortlist 1989, Problem 32, ILL 103

September 18, 2008
geometrycircumcircletrigonometryparallelogramrhombusangleIMO Shortlist

Problem Statement

The vertex A A of the acute triangle ABC ABC is equidistant from the circumcenter O O and the orthocenter H. H. Determine all possible values for the measure of angle A. A.
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