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Triangle Proof

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  • zbaruh
    Dear Hyacinthos, I would like to know the synthetic proof of the following statement: Given an arbitrary triangle ABC, let D be the foot of the perpendicular
    Message 1 of 1 , Jun 30, 2004
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      Dear Hyacinthos,

      I would like to know the synthetic proof of the following statement:

      Given an arbitrary triangle ABC,

      let D be the foot of the perpendicular from A to BC
      let E be the foot of the perpendicular from D to AC
      let F be a point on the line DE

      Prove that AF is perpendicular to BE iff BD/DC = FE/FD.

      Regards,
      Barukh.
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