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.)
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
