State if the given statement is true or false. “12, 35, and 37 represent a Pythagorean triplet.”

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True

False

answer is A.

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Detailed Solution

It is given that the Pythagorean triplet is 12, 35 and 37.
We know that in Pythagorean triplets the square of larger number is equal to the sum of the squares of the other two.
Let us find the square of each number.

⇒ 122 = 144

⇒ 352 = 1225

⇒ 372 = 1369

Let us check for Pythagorean triplet.

⇒ 122 + 352 = 372

⇒ 144 + 1225 = 1369

⇒ 1369

Since, the results are equal, the given numbers are Pythagorean triplets.
Therefore, the given statement is true i.e., “12, 35 and 37 represent a Pythagorean triplet.”
Hence, the correct option is 1.

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