If the lengths of three sides of triangle ABC are a, B, C and a is less than or equal to B, less than or equal to C, a + B + C = 13, a, B, C are all integers, then there are () triangles with a, B, C as three sides

If the lengths of three sides of triangle ABC are a, B, C and a is less than or equal to B, less than or equal to C, a + B + C = 13, a, B, C are all integers, then there are () triangles with a, B, C as three sides

1 6 6
2 5 6
3 4 6
3 5 5
4 4 5
Five in all

It is known that the lengths of a, B and C on each side of the triangle ABC are integers, and the perimeter is 30
I only calculated 19 kinds, but the details are not very clear

2,14,14
3,13,14
4,13,13
4,12,14
5,11,14
5,12,13
6,10,14
6,11,13
6,12,12
7,9,14
7,10,13
7,11,12
8,8,14
8,9,13
8,10,12
8,11,11
9,9,12
9,10,11
10,10,10
There are 19 kinds in total
How can the sum of two sides be greater than 28

1. The lengths of three sides a, B, C of triangle ABC are all positive integers a, B, and a

1