Question

Write a Pythagorean triplet whose one number is 12.

Answer 1

For any natural number where, “m” > 1

m² − 1 = 12

Where m² = 12 + 1 = 13, which is not an integer.

Now we try,

m² + 1 = 12

m² = 11 which is also not an integer.

2m = 12

m = 6.

thus ,

m² − 1 = 35

m² + 1 = 37

And 2m = 12

Thus the required Pythagorean triplet set is (12, 35, 37).