Out of the following, which is the Pythagorean triplet?

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(3, 4, 5) Explanation: (A) In the triplet (1, 5, 10), 12 = 1, 52 = 25, 102 = 100 and 1 + 25 = 26 $\neq$ 100 The square of the largest number is not equal to the sum of the squares of the other two numbers. $\therefore$ (1, 5, 10) is not a Pythagorean triplet. (B) In the triplet (3, 4, 5), 32 = 9, 42 = 16, 52 = 25 and 9 + 16 = 25 The square of the largest number is equal to the sum of the squares of the other two numbers. $\therefore$ (3, 4, 5) is a Pythagorean triplet. (C) In the triplet (2, 2, 2), 22 = 4, 22 = 4, 22 = 4 and 4 + 4 = 8 $\neq$ 4 The square of the largest number is not equal to the sum of the squares of the other two numbers. $\therefore$ (2, 2, 2) is not a Pythagorean triplet. (D) In the triplet (5, 5, 2), 22 = 4, 52 = 25, 52 = 25 and 4 + 25 = 29 $\neq$ 25 The square of the largest number is not equal to the sum of the squares of the other two numbers. $\therefore$ (5, 5, 2) is not a Pythagorean triplet.

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