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Math Help - sophie diagrams

  1. #1
    Newbie shanikasamuel's Avatar
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    Unhappy sophie diagrams

    hi i need help immediately on this question its due tommorrow:

    The diagram below consists of a rectangle ABCD and a triangle DXY so that X and Y are points on the line segments AB and BC respectively and angle DXY = 90 degrees. If all th eline segments in the diagram have integer lenghts, then we call it a sophie diagram.

    (i have attached the image of the diagram)

    a) Show that DA = AX = XD
    XB BY YX
    Note: for a) there are supposed to be fraction lines in betweeen but i dont know how to put them in!

    Thanks for the Help it means a lot!
    Attached Thumbnails Attached Thumbnails sophie diagrams-untitled.jpg  
    Last edited by mr fantastic; June 8th 2010 at 02:26 AM.
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  2. #2
    MHF Contributor Amer's Avatar
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    AXD is similar to XBY why?

    we say that two triangles are similar if they have the same angles
    from the similar we can solve ur problem
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  3. #3
    Newbie shanikasamuel's Avatar
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    Quote Originally Posted by Amer View Post
    AXD is similar to XBY why?

    we say that two triangles are similar if they have the same angles
    from the similar we can solve ur problem

    i dont understand what you are saying sorry
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  4. #4
    Newbie shanikasamuel's Avatar
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    Quote Originally Posted by shanikasamuel View Post
    i dont understand what you are saying sorry
    Sorry Amer i get what you were saying now
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  5. #5
    Member Awsom Guy's Avatar
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    ?

    Quote Originally Posted by Amer View Post
    AXD is similar to XBY why?

    we say that two triangles are similar if they have the same angles
    from the similar we can solve ur problem
    How can you solve that using similar triangles?
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  6. #6
    MHF Contributor Amer's Avatar
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    when two triangles are similar the ratio between the similar sides are equal

    in our triangle we have <B = <A = 90
    <BXY = <XDA
    <BYX = <AXD

    so

    \frac{XB}{BY} = \frac{AD}{AX}

    \frac{XB}{XY} = \frac{AD}{DX}

    like this
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