State Pythagoras theorem and define Pythagorean triplet. Finding a number which is a part of two Pythagoras triplets and finding two triplets which satisfies Pythagoras theorem but is not of the form of Pythagorean triplet.

State Pythagoras theorem and define Pythagorean triplet. Finding a num

1.	State Pythagoras theorem and define Pythagorean triplet. Finding a number which is a part of two Pythagoras triplets and finding two triplets which satisfies Pythagoras theorem but is not of the form of Pythagorean triplet.
Answer» Pythagoras theorem:-Pythagoras theorem STATES that the sum of the squares of the hypotenuse is equal to the sum of the base and height.Example:-3,4,55,12,136,8,108,15,17etc.Pythagorean triplet:-A triplet that follows the rule of Pythagoras theorem is called Pythagorean triplet. It states that the square of the HALF of the number +1 and number -1 is follows Pythagoras theorem.If m is a number then,However, though every Pythagorean triplet follows Pythagoras theorem but every number that follows Pythagoras theorem may not have the same Pythagoras theorem.An odd number can be such an exception.Example 1:-Example Pythagorean triplet of 5 is 5, 5.25, 7.25But in Pythagoreas theorem :-5,12,13 is also a triplet though it is not a form of pythagoreas tripletIn the same way:-9,19.25,20.25 is the Pythagorean triplet of 9BUT in Pythagoras theorem:-9,40 and 41 is also a triplet that follows Pythagoras theorem but not a Pythagorean triplet.