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Math Help - Proving points lie on a line

  1. #1
    RAz
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    Proving points lie on a line

    Hello! I'm having trouble with my proof.

    Definitions:

    Centroid of a triangle ABC: G
    Orthocentre of a triangle ABC: H
    Circumference of a triangle ABC (circle passes though the vertices, A, B, C): O

    Question: Prove that G, H and O of any triangle lie on any line.

    Proofs are my Achilles heel. So far the only progress I have made is:

    Any help would be greatly appreciated.
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  2. #2
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    Quote Originally Posted by RAz View Post
    Hello! I'm having trouble with my proof.

    Definitions:

    Centroid of a triangle ABC: G
    Orthocentre of a triangle ABC: H
    Circumference of a triangle ABC (circle passes though the vertices, A, B, C): O

    Question: Prove that G, H and O of any triangle lie on any line.

    Proofs are my Achilles heel. So far the only progress I have made is:

    Any help would be greatly appreciated.
    Have a look here: Euler Line
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  3. #3
    RAz
    RAz is offline
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    Quote Originally Posted by earboth View Post
    Have a look here: Euler Line
    That is extremely helpful, thanks very much.

    Edit: I can't thankyou enough! Thankyou!
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