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Math Help - centre and other points inside

  1. #1
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    centre and other points inside

    Let ABC be a triangle with O the circumcenter and I the incenter. Let D,E and F be the tangent points of the inscripted circle with AB, BC and AC.
    1. Prove that orthocenter of DEF lies on the line IO
    2. Prove that the distance of D, E and F from IO are three numbers where the biggest among the three is equal to the sum of the other two.

    I thinks that some property about points circle could help, but can't figure out how!...
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  2. #2
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    Re: centre and other points inside

    Hey pincopallino.

    I've never heard of the incenter: can you explain what this is?
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  3. #3
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    Re: centre and other points inside

    Incenter is the center of a circle inscribed in a triangle
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