Q65 of 142 Page 88

State whether the statements are true (T) or false (F).

For every natural number m (2m-1, 2m2-2m,2m2-2m + 1) is a Pythagorean triplet.

Given: natural number m (2m-1, 2m2-2m,2m2-2m + 1)

For Pythagorean triplet square of one should be equal to sum of square of other two.


But it is not true for the given values.


(2m-1)2≠ (2m2-2m)2 + (2m2-2m + 1)2


(2m2-2m)2≠(2m-1)2 + (2m2-2m + 1)2


(2m2-2m + 1)2≠(2m2-2m)2 + (2m-1)2


Hence, the given statement is false.


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