Since it is a right triangle we have to use the pythagorean theorem. Doing so, we have:
[tex]\begin{gathered} a^2+b^2=c^2 \\ a=60,b=63 \\ 60^2+63^2=c^2\text{ (Replacing the values in the equation)} \\ 3600+3969=c^2(\text{ Raising each number to the power of 2)} \\ 7569=c^2\text{ (Adding)} \\ \sqrt[]{7569}=c\text{ (Taking the square root)} \\ 87=c \\ \text{ The answer is: 87} \end{gathered}[/tex]