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| Coincide or Perpendicular (Posted on 2012-10-20) |
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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.
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