Question 184897
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Let <i>x</i> be the measure of the third side, then the first side must be <i>x</i> - 3 and the second side must be <i>x</i> + 2.


The perimeter is the sum of the lengths of the sides, so the maximum length of the third side will be found by solving:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  x + (x - 3) + (x + 2) = 32]


for <i>x</i>.  Then subtract 3 for the first side and add 2 for the second side.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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