Answer :

(i) As we know that,

For every number m > 1, the Pythagorean triplet is (2m, m2 – 1, m2 + 1)


Using this result in the question, we get


2m = 6


m = 3


m2 = 9


m2 – 1 = 9 – 1 = 8


m2 + 1 = 9 + 1 = 10


Thus,


The Pythagorean triplet is [6, 8, 10]


(ii) As we know that,


For every number m > 1, the Pythagorean triplet is (2m, m2 – 1, m2 + 1)


Using this result in the question, we get


2m = 14


m = 7


m2 = 49


m2 – 1 = 49 – 1 = 48


m2 + 1 = 49 + 1 = 50


Thus,


The Pythagorean triplet is [14, 48, 50]


(iii) As we know that,


For every number m > 1, the Pythagorean triplet is (2m, m2 – 1, m2 + 1)


Using this result in the question, we get


2m = 16


m = 8


m2 = 64


m2 – 1 = 64 – 1 = 63


m2 + 1 = 64 + 1 = 65


Thus,


The Pythagorean triplet is [16, 63, 65]


(iv) As we know that,


For every number m > 1, the Pythagorean triplet is (2m, m2 – 1, m2 + 1)


Using this result in the question, we get


2m = 20


m = 10


m2 = 100


m2 – 1 = 100 – 1 = 99


m2 + 1 = 100 + 1 = 101


Thus,


The Pythagorean triplet is [20, 99, 101]


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