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circumcenter and orthocenter

Source: Mathematics Regional Olympiad of Mexico Southeast 2017 P5

October 24, 2021
geometrycircumcircle

Problem Statement

Consider an acutangle triangle ABCABC with circumcenter OO. A circumference that passes through BB and OO intersect sides BCBC and ABAB in points PP and QQ. Prove that the orthocenter of triangle OPQOPQ is on ACAC.
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