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:
$15^2+36^2=39^2$
$1521=1521$
Hence, the given lengths can be side lengths of a right triangle.