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Pre-RMO 2014/4

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?


This note is part of the set Pre-RMO 2014

Note by Pranshu Gaba
2 years, 5 months ago

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Applying triangle inequality we get that the only possible values of a side are 5,6,7,8 of which the side 8 will give maximum perimeter. Hence 8+24+17=49 Sai Prasanth Rao · 2 years, 5 months ago

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49 Saurabh Parekh · 1 year, 5 months ago

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49 Gaurav Singh · 1 year, 7 months ago

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\(\color{red}{\boxed{49}}\) Akshat Sharda · 1 year, 7 months ago

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49 Sahil Nare · 1 year, 11 months ago

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49 Archit Agarwal · 2 years, 4 months ago

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49 Rohit Nair · 2 years, 5 months ago

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a first side is 8 then the 2nd side 24, then 17 is a length of a third side add all possible sides the result is 49 Gilbert Batas Carpena · 2 years, 5 months ago

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49 Zahra Y · 2 years, 5 months ago

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8+24+17=49 Srijit Ganguly · 2 years, 5 months ago

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49 Rahul Verma · 2 years, 5 months ago

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