State whether the given statement is true or false:

3, 4, 5 is a Pythagorean triplet.

True

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False

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Solution

The correct option is A
True

$3^{2}$ + $4^{2}$ = 9 + 16 = 25 = $5^{2}$

By the converse of Pythagoras Theorem, the triangle iwith sides 3, 4, 5 is right angled.

Hence, 3, 4 , 5 is a Pythagorean triplet.

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State whether the following statement is true or false:

For every natural number $m$ , $(2 m - 1, 2 m^{2} - 2 m$ , $2 m^{2} - 2 m + 1$ ) is a pythagorean triplet.

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