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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.)

 May 20, 2022
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I think there are 7 possible triangles:

 

1= (7, 7, 1)

2= (7, 6, 2)

3= (7, 5, 3)

4= (6, 6, 3)

5= (7, 4, 4)

6= (5, 6, 4)

7= (5, 5, 5)

 May 20, 2022

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