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Which Cannot Be The Perimeter Of An Equilateral Triangle With Integer Side Lengths?

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    The perimeter of an equilateral triangle with sides of integer length will be an integer divisible by 3. Anything else won't work, including amounts with a fractional part, or amounts not divisible by 3.

    29084984982 could be the perimeter. 203948096 could not be.
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    A number is divisible by 3 if the sum of its digits is divisible by 3. That is a recursive definition, so you can add the digits to get, say 235, then add the digits again to get 2+3+5=10, then add the digits again to get 1+0=1. (Not divisible by 3.)

    4 0

    Oddman 

    answered 1 year ago

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