[tex]26[/tex]; to find the length of the hypotenuse, you have to use the pythagorean theorem, which states that, in a right triangle, [tex]a^2+b^2=c^2[/tex]. [tex]a[/tex] and [tex]b[/tex] would be the two legs, while [tex]c[/tex] would be the hypotenuse. You need to plug in the values of the legs as [tex]a[/tex] and [tex]b[/tex]: [tex]10^2+24^2=c^2[/tex]. Solve for the squares of the two numbers, resulting in [tex]100+576=c^2[/tex], and ultimately [tex]676=c^2[/tex]. Find the square root of [tex]c^2[/tex] and [tex]676[/tex], and you get [tex]26=c[/tex].
