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Two triangles are considered the same if they have the same three side lengths. Find all possible values of P such that there is only 1 possible triangle with integer side lengths and perimeter P.
 

 Feb 5, 2023
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Imagine P is 5. Then we could have 1, 1, 3 or 1, 2, 2. 

Imagine P is 4. Then we could have 1, 1, 2. That's it

Imagine P is 3. Then we could have 1, 1, 1. That's it

When P is 2, there's no triangle like that.

 

If it's 5 or above, there will be multiple ways.

Therefore, there are 2 values of P.

 Feb 5, 2023

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