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Question

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Which of the following is a pythagorean triplet?
(a) (2, 3, 5)
(b) (5, 7, 9)
(c) (6, 9, 11)
(d) (8, 15, 17)

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Solution

(d) (8,15,17)

This can be understood from the property of Pythagorean triplets. According to this property, for a natural number m, (2m, m2-1, m2+1) is a Pythagorean triplet.
Here, m = 4
2m = 8
m2 - 1=15
and m2 + 1 = 17

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