Answer :

Given:

We know that for any natural number greater than 1, (2m, m2-1, m2 + 1) is a the Pythagorean triplet.


So if one number is m2 + 1 then other two number are m2-1 and 2m.


i.e. m2 + 1 = 5 (given)


m2 = 4


m = 2


Then m2-1 = 22-1 = 4-1 = 3


And 2m = 2(2) = 4


Hence, Pythagorean triplet is 3, 4 and 5


Similarly another triplet is:


132 = 122 + 52


Hence, 3,4,5 and 5,12,13 are two Pythagorean triplet.


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