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Math Help - Line segments

  1. #1
    Newbie
    Joined
    Jan 2009
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    16

    Line segments

    Given line segment AB,

    1.) Where should one place point C such that the ratio of the length of AB to the length of AC is 2? When C is in this position, what's the ratio of the length of AC to BC?

    2.) Where should one place point C such that the ratio of the length of AB to the length of AC is 1? Are you able to determine the ratio of AC to BC? If so, find it. If not, explain why not.

    3.) Using your answers from #1 and #2, determine the smallest and largest possible numbers for the ratio of the length of the whole to the length of the greater -- that is, the length of the whole is AB and the greater will be the bigger line segment cut but C.

    ---

    My solutions:

    For #1:

    I would put C in the middle- this would make the ratio 2. The value of AC/BC would be 1/2.

    For #2:

    I would put C where B is. Then it's 1. Then AC/BC would be 1 too would it not? I think?

    For #3: Not sure
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  2. #2
    MHF Contributor
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    OK for 1 but AC/BC=1

    OK for 2 but B=C means BC=0 so ...
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