Question

Find a pythagorean triplet whose one member is 35 b)find a pythagorean triplet thoser one member is 22.

Answer 1

A Pythagorean triplet can be given by  
  c = m² + n² ,     b = m² - n² = (m-n)(m+n),       a  = 2 m n

Let  b = 35  = 7 * 5 = (6+1)(6-1)   => m = 6 and n = 1
      a = 2 m n = 12          c = 37    
Hence,   (12, 35, 37)

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Let    a = 22 = 2 m n   =>   m = 11,    n = 1 
         b = 120        c = 122
So  triplet:   (22, 120, 122)    or   2(11, 60, 61)