14. The lengths of the sides of a quadrilateral are $2006 \mathrm{~cm}, 2007 \mathrm{~cm}, 2008 \mathrm{~cm}$ and $x \mathrm{~cm}$. If $x$ is an integer, find the largest possible value of $x$.
14. Answer: 6020
By triangle inequality, $x<2006+2007+2008=6021$. Since $x$ is an integer, it follows that the largest possible value of $x$ is 6020 .