number of pythagorean triplets with hypotenuse 125 cm is

Explanation

general form `2m, m^2-1, m^2+1`

`m^2-1 < m^2+1`

so `m^2-1 !=125`

if `2m = 125`

`m = 125/2= 62.5`

`m^2 - 1 = 15625/4 - 1`

`= 15621/4 = 3905.25`

so `m^2-1` is not integer `-> ` its not a solution

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