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Math Help - Minimum length of crease ?

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    Minimum length of crease ?

    There is a rectangular paper with width 'a' . One corner is held and folded so that the corner touches the opposite edge of the paper. What is the minimum length of the crease ?
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    Quote Originally Posted by ice_syncer View Post
    There is a rectangular paper with width 'a' . One corner is held and folded so that the corner touches the opposite edge of the paper. What is the minimum length of the crease ?
    The maximum length of the crease is length of the paper. By symmetry, the minimum length of the crease will be L = \sqrt{a^2 + a^2}.

    I guess someone will want to prove this using calculus by first getting a general expression for the crease length as a function of the distance of the corner of the paper from the opposite corner ....
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    :/ Cant really find that function, so many variables, maybe we could link it with some geometry, please help
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