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Math Help - triangle inequality help

  1. #1
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    triangle inequality help

    triangle inequality help-ab7ba85dd2cf4e6c07cb2139cb11d8e13527723f.png
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  2. #2
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    Re: triangle inequality help

    Hello, vegasgunner!

    How many non-similar triangles have angles whose degree measure
    are distinct positive integers in arithmetic progression?

    We can consider \{60^o,60^o,60^o\}
    . . but these angles are not distinct.

    We have:

    . . \begin{array}{ccc}59\;\;60\;\;61 \\ 58\;\;60\;\;62 \\ 57\;\;60\;\;63 \\ \vdots \\ 3\;\;60\;\;117 \\ 2\;\;60\;\;118 \\ 1\;\;60\;\;119 \end{array}


    There are 59 such triangles.
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  3. #3
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    Re: triangle inequality help

    thank you!!
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