Question:

Some questions and their alternative answers are given. Select the correct alternative.

(1) Out of the following which is the Pythagorean triplet?
(A) (1, 5, 10)
(B) (3, 4, 5)
(C) (2, 2, 2)
(D) (5, 5, 2)

Answer:

(A) (1, 5, 10)
Here 12+52 ≠ 102
The square of largest number is not equal to sum of squares of the other two numbers.
So (1, 5, 10) is not a Pythagorean triplet.
(B) (3, 4, 5)
Here 32+4= 52
The square of largest number is equal to sum of squares of the other two numbers.
So (3, 4, 5) is a Pythagorean triplet.
(C) (2, 2, 2)
Here 22+22 ≠ 22
The square of largest number is not equal to sum of squares of the other two numbers.
So (2, 2, 2) is not a Pythagorean triplet.
(D) (5, 5, 2)
Here 22+52 ≠ 52
The square of largest number is not equal to sum of squares of the other two numbers.
So (5, 5, 2) is not a Pythagorean triplet.
Hence option B is the correct answer.

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