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Math Help - Lines through triangle

  1. #1
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    Lines through triangle

    Attachment 29922

    http://i44.tinypic.com/1ivzb.jpg

    See image A above
    The black triangle is an isosceles triangle.
    Consider the lengths of the parts of green and red line which are inside of the black triangle.
    If I move the green and red lines together up or down, along the midaxis of the symmetric triangle,
    do their relative lengths change?
    (as long as they both remain inside of the triangle's top right and bottom corner)

    Thanx beforehand!
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  2. #2
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    Re: Lines through triangle

    Quote Originally Posted by Encircled View Post
    If I move the green and red lines together up or down, along the midaxis of the symmetric triangle,
    do their relative lengths change?
    Yes, they do. When the red line is very close to the bottom vertex of the triangle, the ratio of green to red segments is arbitrarily large. When the green line passes through the top right vertex, the ratio is close to 1.
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  3. #3
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    Re: Lines through triangle

    Yes, how obvious it is with an example at the extreme.Thank you!
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