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In a triangle with integer side lengths, one side is three times as long as a second side, and the length of the third side is 17. What is the greatest possible perimeter of the triangle?

 Dec 31, 2021
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The greatest perimeter would be:

 

Shortest side ==8 and the 2nd side==3 x 8 ==24 and the 3rd side ==17, because:

[8 + 17]==25 > 24, and: [8 + 17 + 24] ==49 - greatest perimeter.

 Dec 31, 2021

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