Given:
Th right traingle is,
Use the Pythagorean theorem,
[tex]\begin{gathered} \text{Hypotenuse}^2=side^2+side^2 \\ a^2=35^2+120^2 \\ a^2=15625 \\ a=\pm125 \end{gathered}[/tex]Since length must be positive.
It gives,
[tex]a=125[/tex]Answer: the length of the hypotenuse is 125