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)
Whether (13,84,85) is a pythagporean triplet ? | |||
| Right Option : A | |||
| View Explanation | |||
Which one of the triplets given below is Pythagorean triplet ? | |||
| Right Option : C | |||
| View Explanation | |||
Choose a Pythagorean triplet whose one member is 4. | |||
| Right Option : A | |||
| View Explanation | |||
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My 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.
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10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
