Answer
The given lengths can be side lengths of a right triangle.
Work Step by Step
To find the length of any side of a right triangle, apply the Pythagorean Theorem: $a^2+b^2=c^2$
Plug in the given numbers: $(\frac{7}{9})^2+(\frac{24}{9})^2 = (\frac{25}{9})^2$
Hence, the given lengths can be side lengths of a right triangle.