GAUSS8 2001 Problem 24

A triangle can be formed having side lengths 4,5 and 8. It is impossible, however, to construct a triangle with side lengths 4,5 and 9. Ron has eight sticks, each having an integer length. He observes that he cannot form a triangle using any three of these sticks as side lengths. The shortest possible length of the longest of the eight sticks is

Answer Choices
A. 20
B. 21
C. 22
D. 23
E. 24