Find a square number that can be made by adding together two other square numbers.

Question

Do you know the answer to this question?

Answer 1

The general solution comes from the Pythagorean theorem; Pythagorean triples satisfy this condition.

 

Some examples (not squared): 5, 12, 13    

8, 15, 17

Answer 2

There are several.  Here is one example:

 

3² + 4² = 5²