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Math Help - Line through incenter and circumcenter

  1. #1
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    Smile Line through incenter and circumcenter

    Hi!
    I'm sorry for my bad english, but I'm italian... So...
    Let ABC be a triangle. Let D be a point on AC and E be a point on AB so that BC=CD=BE.
    Prove that the line through D and E is perpendicular to the line through I and O,
    where I and O are the incenter and circumcenter of the triangle.

    If you don't understand something please ask me.
    Thank you.
    Bye
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  2. #2
    Moo
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    Hello,

    I've made a sketch... just in case it would help ~

    Line through incenter and circumcenter-geo.jpg
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