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Question

# If the largest number in a Pythagorean triplet is 17, then what is the smallest number in that triplet?

A
13
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B
12
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C
8
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D
9
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Solution

## The correct option is C 8All the numbers in a Pythagorean triplets are natural numbers and given, the largest number of a Pythagorean triplet is 17. If one of the other numbers is a) 13, then the third number will be √172−132=√120, not a perfect square. b) 12, then the third number will be √172−122=√145, not a perfect square. c) 8, then the third number will be √172−82=√225=15, a perfect square. d) 9, then the third number will be √172−92=√208, not a perfect square. Hence, the smallest number in the Pythagorean triplet with the largest number in it as 17, is 8.

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