All the sides of a triangle are integers, and the perimeter is 15. How many different possible triangles are there? (Assume that the triangle is non-degenerate. Two triangles are considered the same if they are congruent.)

Let a, b, c be the three non negative integer sides of the triangle, where a <= b <= c.

The triangular inequality tells us that a + b > c.

List out the possible a, b, and c sides. :))

=^._.^=