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Question

The pythagorean triplet whose smallest number is 12 is .

A
12, 35, 37
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B
12, 40, 48
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C
12, 13, 18
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Solution

The correct option is A 12, 35, 37
For any natural number m>1, the Pythagorean triplet adheres to (2m)2+(m21)2=(m2+1)2.
Given, smallest number is 12,
2m=12 or m=6.
m2+1=62+1=36+1=37
m21=621=361=35
The Pythagorean triplet is 12, 35, 37.

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