Question

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?

Options

• 15/8/17 

• 16/8/16 

• 3/5/17

• 4/9/15

Answer 1

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.

∴ 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 ≠ 256

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ 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 ≠ 289

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ 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 ≠ 225

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ 4/9/15 is not a Pythagorean triplet.

Hence, the correct option is 15/08/17.