All the sides of a triangle are integers, and the perimeter is \(18\). How many different possible triangles are there? (Assume that the triangle is non-degenerate. Two triangles are considered the same if they are congruent.)

A Total of 7? (3, 7, 8)

(4, 7, 7)

(2, 8, 8)

(6, 6, 6) (4, 6, 8)

(5, 5, 8) (5, 6, 7)