Given the information, we have the following:
Using the pythagoeran theorem, we get:
[tex]\begin{gathered} c^2=a^2+b^2 \\ \Rightarrow c^2=6^2+8^2=36+64=100 \\ \Rightarrow c^2=100 \\ \Rightarrow c=\sqrt[]{100}=10 \\ c=10 \end{gathered}[/tex]Therefore, the hypotenuse is c=10