Question

Find a pythagorean triplet whose smallest member is $12$.

Answer 1

For every natural number $m>1$
m>1

$(2m,m^2-1,m^2+1)$ is a Pythagorean triplet, then

$2m=12$ (Given)

$m=6$

m=6

So, we get the triplet $(12,35,37).$