Answer
$11.6\ in$ and $23.2\ in$
Work Step by Step
Step1. Assume the shorter leg has a length of $x\ in$, the other leg would be $2x\ in$.
Step2. Use Pythagorean Theorem, we have $x^2+(2x)^2=26^2$ or $5x^2=26^2$
Step3. Take the positive solution of the above, we have $x=\frac{26}{\sqrt 5}\approx11.6\ in$
Step4. Conclusion: one leg is $11.6\ in$, the other one is $23.2\ in$
