Answer
• In order to find the area, you must find the length of the other leg.
Work Step by Step
• To find the length of the other leg, we use Pythagorean's theorem.
$26^2 - 10^2 = 676 - 100 = 576 = \boxed {24^{2}}$
The length of the other leg is $24$. To find the area, you need to multipy $24$ and $10$ and divide the product by $2$. The area is $\boxed{120}$