It's not three Pythagorean
does not meet the Pythagorean equation
a = 11
b = 61
c = 62 (hypotenuse a<c>b )
a² + b² = c²
11² + 61² = 62²
121 + 3721 = 3844
3842 ≠ 3844
We use the knowledge of the Pythagorean
catheus catheus hypotenuse
2n + 1 2n(n+1) 2n² + 2n + 1
2n + 1 = 11 2*5(5+1) 2*5² + 2*5 + 1
2n = 11 - 1 10*5 50 + 10 + 1
2n = 10 60 61
n = 5
Your three should have value
11, 60 , 61
11² + 60² = 61²
121 + 3600 = 3721
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