Use the Pythagorean theorem.
[tex]a^2+b^2=c^2[/tex]
it doesn't matter which value is which since we are looking for the hypotenuse, so we would plug in given values:
[tex]6^2+8^2=c^2[/tex]
From here we do the math to solve for c
[tex]36+64=c^2[/tex]
[tex]100=c^2[/tex]
[tex] \sqrt{100} = \sqrt{c^2} [/tex]
Final answer ----> C=10