Respuesta :

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