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Out of the dates given below which date constitutes a Pythagorean triplet ?

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15 / 08 / 17

16 / 08 / 16

3 / 5 / 17

4 / 9 / 15

answer is A.

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Detailed Solution

Given dates are

15 / 08 / 17

16 / 08 / 16

3 / 5 / 17

and

4 / 9 / 15

.
In the triplet

15 / 08 / 17

15^{2} = 225

8^{2} = 64

17^{2} = 289

.
And

225 + 64 = 289

.
The square of the largest number is equal to the sum of the sum of square of the two numbers.

∴ 15 / 08 / 17

is a Pythagorean triplet.
In the triplet

16 / 08 / 16

16^{2} = 256, 8^{2} = 64, 16^{2} = 256

.
And

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.

∴ 16 / 08 / 16

is not a Pythagorean triplet.
In the triplet

3 / 5 / 17

3^{2} = 9, 5^{2} = 25, 17^{2} = 289

.
And

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.

∴ 3 / 5 / 17

is not a Pythagorean triplet.
In the triplet

4 / 9 / 15

4^{2} = 16, 9^{2} = 81, 15^{2} = 225

.
And

16 + 81 = 97 \neq 225

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

∴ 4 / 9 / 15

is not a Pythagorean triplet.
Hence, the date

15 / 08 / 17

is a Pythagorean triplet.
Therefore, the correct answer is option (1).

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Out of the dates given below which date constitutes a Pythagorean triplet ?

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