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1. How to find out whether the 3 numbers which are given are Pythagorean Triplets or not ?

2. Tell whether 2,3 & 5

Question

1. How to find out whether the 3 numbers which are given are Pythagorean Triplets or not ?

2. Tell whether 2,3 & 5 are Pythagorean Triplets or not ?

3. Also tell whether 6,8 & 10 Pythagorean Triplets or not ?

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Mathematics
3 months
2021-07-17T13:37:08+00:00
2021-07-17T13:37:08+00:00 2 Answers
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## Answers ( )

Answer:A Pythagorean triple is a list of three numbers that works in the Pythagorean theorem — the square of the largest number is equal to the sum of the squares of the two smaller numbers. The multiple of any Pythagorean triple (multiply each of the numbers in the triple by the same number) is also a Pythagorean triple.Every integer greater than 2 is part of a primitive or non-primitive Pythagorean triple. For example, the integers 6, 10, 14, and 18 are not part of primitive triples, but are part of the non-primitive triples (6, 8, 10), (14, 48, 50) and (18, 80, 82).Answer:1.It’sEasytoFindwhetherThe3Numberswhicharegiventousaretripletornot!➝InPythagoreanTripletsorwecansayPythagoreanTheoremit’sstatedthatTheSquareofthelargestNumberisequaltotheSumoftheSquaresoftheRest2SmallerNumbers!➝TheformulaforPythagoreanTripletsare:➝a2+b2 =c2So,BysimplyputtingtheNumberswhicharegiventoyouintheformulacanshowthatthenumbersareTripletorNot!2.Let’ssolveit!➝Numbersgiventousare:2,3&5.FormulaforTripletis:a2+b2=c2➝2^2+3^2=5^2➝4+9=25➝13=25TheAnswerisNO!3.Let’ssolvethistoo!➝a2+b2=c2➝6^2+8^2=10^2➝36+64=100➝100=100TheAnswerisYes!