Find the Pythagorean triplet whose smallet member is 12.12.


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Answer:

(12,35,37)(12,35,37)

Step by Step Explanation:
  1. For every natural number m>1m>1, (2m,m2−1,m2+1)(2m,m2−1,m2+1) is a Pythagorean triplet.
    Putting 2m=122m=12, we get m=6.m=6.

    Thus,
    m2−1=62−1=35m2−1=62−1=35
    m2+1=62+1=37m2+1=62+1=37
  2. Hence, (12,35,37)(12,35,37) is a Pythagorean triplet.

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