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2014-07-01T14:12:37+05:30

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37x37 = 1369 now 35x 35 + 12x 12 = 1225+144 = 1369 as the sum of square of two smallest nos is equal to the square of greater no so it is a Pythagorean triplet
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2014-07-01T15:51:59+05:30

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to prove a Pythagorean triplet we have to show the sum of squares of smaller side is equal to the square of the larger side 
i.e. for triangle ABC we have to show AB
² +BC²= AC²
37
×37 = 1369
 35
×35 = 1225
 12
×12 +144 = 1369
SO 
 now 35x 35 + 12x 12 = 1225+144 = 1369 
as the sum of square of two smallest side  is equal to the square of greater side i.e is 1369
 so it is a Pythagorean triplet.
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