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State whether the following is true or false.

$(12, 35, 37)$ is a Pythagorean triplet.

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True

False

answer is A.

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Detailed Solution

Given triplet is

12, 35, 37

.
On squaring each number, we get.

12^{2} = 144

35^{2} = 1225

37^{2} = 1369

Taking sum of square of two smaller numbers.

12^{2} + 35^{2} = 144 + 1225

12^{2} + 35^{2} = 1369

The sum of squares of smaller numbers is equal to the square of the bigger number.

12^{2} + 35^{2} = 37^{2}

Hence,

12, 35, 37

are Pythagorean triplets.
Therefore, option (1) is correct and the statement is true.

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