Answer
The given lengths cannot 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:
$(12)^2+(35)^2 \ne (36)^2$
Hence, the given lengths cannot be side lengths of a right triangle.