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Coincide or Perpendicular (Posted on 2012-10-20) Difficulty: 3 of 5

Let H and O be the orthocenter and circumcenter respectively of ΔABC.

Prove that the bisector of ∠ABC coincides with or is perpendicular to the bisector of ∠HBO.

Ignore the cases where ∠ABC = 90 or ∠BAC = ∠BCA.

See The Solution Submitted by Bractals    
Rating: 3.0000 (1 votes)

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