A stick 5 cm long, a stick 9 cm long, and a third stick n cm long form a triangle. What is the sum of all possible whole number values of n?

Any two sides of a triangle have to sum greater than the third side

9+5=14    so side 3 can be   13   12  11 10 9 8 7 6 or 5    it cannot be 4    because side 5 + 4 is not greater than the '9' side