Since we have that the legs of the right triangle are 10 and 24, then we can use the Pythagorean Theorem to find the hypotenuse as follows:
[tex]h^2=10^2+24^2=100+576\Rightarrow h^2=676\Rightarrow h=\sqrt[]{676}\Rightarrow h=26[/tex]Therefore, the hypotenuse has a value, in this case, of h = 26 units.