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+(m2−1)2=(m2+1)2.
Given, smallest number is 12, 2m=12orm=6. m2+1=62+1=36+1=37 m2−1=62−1=36−1=35 ∴ The Pythagorean triplet is 12, 35, 37.