There is a specific theorem thats could help, its called the triangle inequality therom. So you cannot have the third side of your triangle must be greater than the difference of the two other sides. And also smaller than the sum of the two sides so.
If you subtract 9 and 6 you get 3. So E.2 Is off the table. Since it is lower.
If you add 9 and 6 you get 15. So D.15 is off the table. Since it is equal to or greater than the combination of 9 and 6.
So the answers you have left are A.10, B.7, C.4, F.12. Since they are in between the diference of (9-6) and the addition of (9+6).
Hope this helps ;P