Let x = the equal sides and y = the remaining side
We have the feasible region defined by
2x + y = 30
2x > y
x + y > x
See the graph here : https://www.desmos.com/calculator/brjqinmutc
6 triangles
8 - 8 - 14
9 - 9 - 12
11 - 11 - 8
12 - 12 - 6
13 - 13 - 4
14 - 14 - 2
