the lengths of the three sides of a right triangle R have odd integer values and two of the three sides have lengths 3 and 5. What is one possible length of the third side?

Answer 1

Must be a typo
There is not right-angled triangle where all 3 sides are odd
If two of the three sides are odd, then the missing side is
4
part of the well knows right-angled triangle with the smallest integer values, 3 , 4, and 5

(3^2 + 4^2 = 5^2)

Answer 2

If the error is in claiming it is a right triangle, then a third side of 7 is possible.