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Math Help - [SOLVED] Dissecting squares to form other shapes

  1. #1
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    [SOLVED] Dissecting squares to form other shapes

    Please help me with the following question:

    With two straight cuts, dissect a square into three triangle such that they can be put together without overlapping so that they form an obtuse angle triangle.

    I have no idea how to proceed.

    Thanks for any help.
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  2. #2
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    Quote Originally Posted by BG5965 View Post
    Please help me with the following question:

    With two straight cuts, dissect a square into three triangle such that they can be put together without overlapping so that they form an obtuse angle triangle.

    I have no idea how to proceed.

    Thanks for any help.
    wat do u mean? 3 triangles then 3 obtuse angles? 3 triangles w/c one is an obtuse triangle?

    there are 3 triangles one is an obtuse triangle..
    Attached Thumbnails Attached Thumbnails [SOLVED] Dissecting squares to form other shapes-square2.jpg  
    Last edited by princess_21; February 9th 2009 at 11:38 PM.
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  3. #3
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    Quote Originally Posted by princess_21 View Post
    wat do u mean? 3 triangles then 3 obtuse angles? 3 triangles w/c one is an obtuse triangle?

    there are 3 triangles one is an obtuse triangle..
    No, you split the square into 3 pieces, then rearrange the pieces to form an obtuse angled triangle, where one angle is >90 and <180.
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  4. #4
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    Lightbulb

    ahh, i got it. i think i need time to figure out. just one advice: try use a paper and cut it. i'll try do it.
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  5. #5
    Like a stone-audioslave ADARSH's Avatar
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    First of all cut 1 out of square and place it as in figure
    Next cut 2 out of 1 and place it
    watch the right angles and the isoceles triangle 1 you will get it
    Attached Thumbnails Attached Thumbnails [SOLVED] Dissecting squares to form other shapes-jj.bmp  
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  6. #6
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    Ahh.. Sorry

    Yeah, I didn't really understand that explanation - I couldn't see the the 3 distinct pieces and how they formed one obtuse angled triangle.
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  7. #7
    Like a stone-audioslave ADARSH's Avatar
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    -First of all draw a line parralel to base with height twice as that of side of square

    -Now From the diagonal of square join the endpoint of the square to the parrallel line

    - Join the basepoint to the point of intersection of parralel line with the new line

    - Now you will be able to see the cut
    Attached Thumbnails Attached Thumbnails [SOLVED] Dissecting squares to form other shapes-jj.bmp  
    Last edited by ADARSH; February 22nd 2009 at 10:48 PM.
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