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Math Help - Triangles

  1. #1
    RE1
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    Triangles

    Given triangle ABC.Line l contains vertex A and is parallel to BC,line k contains vertex C and is parallel to AB,line m contains vertex B and is parallel to AC.Lines l,k,m form triangle QRM .How to show that the triangle ABC is medial to the QRM.
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  2. #2
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    Quote Originally Posted by RE1 View Post
    Given triangle ABC.Line l contains vertex A and is parallel to BC,line k contains vertex C and is parallel to AB,line m contains vertex B and is parallel to AC.Lines l,k,m form triangle QRM .How to show that the triangle ABC is medial to the QRM.

    Ok, let suppose that in front of A is Q, in front of B is P and in front of C is R.
    ABCQ is parallelogram. So, AB=CQ
    ABCP is parallelogram too, so AB=PC
    AB=CQ+PC/2 so AB is the medial line of the triangle PQR.
    The same for the other legs of the triangles.
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