Four alternative answers for the following question are given. Choose the correct alternative and write its alphabet: Out of the dates given below which date constitutes a Pythagorean triplet?

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KollegeApply · Accepted Answer

15/8/17 Explanation: A) In the triplet 15/8/17 152 = 225, 82 = 64, 172 = 289 i.e. 172 = 152 + 82 The square of the largest number is equal to the sum of the squares of the other two numbers. $\therefore$ 15/08/17 is a Pythagorean triplet. B) In the triplet 16/8/16, 162 = 256, 82 = 64, 162 = 256 i.e. 256 + 64 = 320 $\neq$ 256 The square of the largest number is not equal to the sum of the squares of the other two numbers. $\therefore$ 16/8/16 is not a Pythagorean triplet. C) In the triplet 3/5/17, 32 = 9, 52 = 25, 172 = 289 i.e. 9 + 25 = 34 $\neq$ 289 The square of the largest number is not equal to the sum of the squares of the other two numbers. $\therefore$ 3/5/17 is not a Pythagorean triplet. D) In the triplet 4/9/15, 42 = 16, 92 = 81, 152 = 225 i.e. 16 + 81 = 97 $\neq$ 225 The square of the largest number is not equal to the sum of the squares of the other two numbers. $\therefore$ 4/9/15 is not a Pythagorean triplet. Hence, the correct option is 15/08/17.

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