10 in, 24 in, and 26 in. By the Converse of the Pythagorean Theorem, the lengths must satisfy the equation c² = a² + b². Let 26 = hypotenuse and 10 and 24 the legs of the triangle.
26² = 10² + 24²
676 = 100 + 576
676 = 676.
Yes, they can be lengths of a right triangle.