MathDB
Triangles with same orthocenter and circumcircle

Source: 2022 G7

July 9, 2023
Eulergeometrycircumcircle

Problem Statement

Two triangles ABC,A’B’C’ABC, A’B’C’ have the same orthocenter HH and the same circumcircle with center OO. Letting PQRPQR be the triangle formed by AA’,BB’,CC’AA’, BB’, CC’, prove that the circumcenter of PQRPQR lies on OHOH.
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