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2113Area of Orthic Triangle

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  • Quang Tuan Bui
    Dec 30 8:54 AM
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      Dear All My Friends,
       
      HaHbHc is orthic triangle of triangle ABC. A', B', C' are orthogonal projections of A, B, C on HbHc, HcHa, HaHb respectively.
       
      Please prove that:
       
      Area(HaHbHc) = Sqrt(Area(ABC)*Area(A'B'C'))
       
      Happy New Year 2015 to You All!
       
      Best regards,
      Bui Quang Tuan

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