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Question
Out of the following, which is the Pythagorean triplet?
Options
(1, 5, 10)
(3, 4, 5)
(2, 2, 2)
(5, 5, 2)
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Solution
(3, 4, 5)
Explanation:
(A) In the triplet (1, 5, 10),
12 = 1, 52 = 25, 102 = 100 and 1 + 25 = 26 ≠ 100
The square of the largest number is not equal to the sum of the squares of the other two numbers.
∴ (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.
∴ (3, 4, 5) is a Pythagorean triplet.
(C) In the triplet (2, 2, 2),
22 = 4, 22 = 4, 22 = 4 and 4 + 4 = 8 ≠ 4
The square of the largest number is not equal to the sum of the squares of the other two numbers.
∴ (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 ≠ 25
The square of the largest number is not equal to the sum of the squares of the other two numbers.
∴ (5, 5, 2) is not a Pythagorean triplet.
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