The three sides of triangle ABC are a, B, C, and they are all positive integers. A > b > C, a = 8, how many such triangles are there the sooner the better

The three sides of triangle ABC are a, B, C, and they are all positive integers. A > b > C, a = 8, how many such triangles are there the sooner the better


(8,7)2,3,4,5,6
(8,6),3,4,5
(8,5)4
There are 9 kinds in total