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.)
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)