Pythagorean Triplets

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Hima Bindu

Hi Dear All,

In class 8 CBSE,  we have textbooks introducing Pythagorean Triplets.

Using them we can generate triplets when the numbers are odd and even . Have we ever wondered how did we get them?

The following square grid gives us a good glimpse on how to interpret the standard result.

In the following square grid we observe that we have square numbers along one diagonal of the square

  • Select any two square numbers along the diagonal
  • Select a square which includes them
  • Notice that the extremes of the other diagonal have identical numbers.
  • If the square numbers are and, then the other diagonal numbers represent 2mn.
  • always represent Pythagorean Triplets.

Pythagorean Triplets:

3422-e1512319579551.png

34 If n=1, then we have Capture11 , is also a Pythagorean Triplet.(Check it out!). (24,26,10)

Interestingly we can observe a pattern when we want to generate a Pythagorean triplet with an odd number/ even number.

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