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A Collinearity from the Medial and Excentral Triangles

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Let ABC be a triangle with excentral triangle A'B'C'. Let H be the orthocenter of ABC, I the incenter of the medial triangle of ABC, and O the circumcenter of A'B'C'. Then H, I, and O are collinear and I bisects HO.

Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

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