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State true or false.

All numbers of a pythagorean triplet are odd.

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True

False

answer is B.

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Detailed Solution

Let us consider a pythagorean triplet,

7, 24, 25

.
Here square of

25

is equal to the sum of squares of

7

and

24

252 = 72 + 242 625 = 49 + 576 625 = 625

From this example, we can conclude that not all pythagorean triples are odd since

24

is an even number.
The correct statement is that the numbers of a pythagorean triplet can be odd and even numbers.
Hence, the statement is false.
Therefore option 2 is correct.

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