Pythagoras in trouble

Number Theory Level 1

Suppose x, y and z are co-prime positive integers satisfying the Pythagoras theorem, x^2 +y^2 = z^2

Now, what can we say about the nature of x and y?

  1. Both x and y are even
  2. Both x and y are odd
  3. x and y are either both odd or both even
  4. Only one of x and y can be even,
  5. There is no such constraint, x and y can be any numbers at a time

Put the correct option number in the answer. Please share your solutions, because here, the method, rather than the answer is the most important thing.


Problem Loading...

Note Loading...

Set Loading...