Question

Which set of line segments could create a right triangle?

Answer 1

As we know in a right angled triangle the sum of two sides will always be greater than the third side.

We will use the Pythagoras Theorem here:
c² = a² + b²; where c is the longest side.

The only segments satisfying this are
15, 36, 39

Answer 2

15, 30, 35
15, 36, 39
15, 20, 29
5, 15, 30