Pythagorean Triplet
Pythagorean Triplet
Property :For any natural number m greater than 1 the Pythagorean triplet are represented as
Proof: In order to prove that is a Pythagorean triplet, it is sufficient to prove that
We have,
Hence, is Pythagorean triplet for any natural number m > 1.
Remark: If m and n are relatively prime natural numbers such that m > n and exactly one of them is even and other is odd, then is a primitive Pythagorean triple.
Here, the word primitive means that the three numbers contain no common factor.
Illustration: Write a Pythagorean triplet whose one member is:
(i) 6 (ii) 18
Solution: For any natural number m > 1, we have
as a Pythagorean triplet.
(i) Here,
and
Hence the pythagorean triplet is (6,8,10)
(ii) Here,
and
Hence the pythagorean triplet is (18,80,82)
Check which of the following is not a pythagorean triplet | |||
| Right Option : A | |||
| View Explanation | |||
Check whether (6,32,34) is a pythagorean triplet or not | |||
| Right Option : B | |||
| View Explanation | |||
Which of the following is not a pythagorean triplet ? | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
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Prisha Gupta
8thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
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Archit Segal
7thThe experience was nice. I studied here for three years and saw a tremendous change in myself. I started liking subjects like English and SST which earlier I ran from. Extra knowledge gave me confidence to overcome competitive exams. One of the best institutes for secondary education.
Aman Kumar Shrivastava
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Cheshta
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Hiya Gupta
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Barkha Arora
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thWhen I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
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Eshan Arora
8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
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Om Umang
10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thWe started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
Manya
8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
Shreya Shrivastava
8thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
Ayan Ghosh
8thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
Aman Kumar Shrivastava
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Yogansh Nyasi
7thMy experience with Abhyas Academy has been very good. When I was not in Abhyas whenever teacher ask questions I could not speak it confidently but when I came in Abhyas, my speaking skills developed and now I am the first one to give the answer of teachers question.
