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Question

Find the pythagorean triplet whose smallest number is 12

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Solution

For every natural number m>2,(2m,m21,m2+1) is a pythagorean triplet and the smallest number is 2m

Given:2m=12m=122=6

m21=621=361=35

and m2+1=62+1=36+1=37

The triplet is (12,35,37)

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