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A triangle with integer sides has perimeter 15. How many such non-congruent triangles are there? (A 3-4-5 triangle is considered congruent to a 3-5-4 triangle because we can reflect and rotate the triangles until they match up.)

 Dec 2, 2020
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1 -    7 + 7 + 1 = 15
2 -    7 + 6 + 2 = 15
3 -    7 + 5 + 3 = 15
4 -    7 + 4 + 4 = 15
5 -    6 + 6 + 3 = 15
6 -    6 + 5 + 4 = 15
7 -    5 + 5 + 5 = 15

 Dec 2, 2020

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