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Que)- What is Pythagorean triplets. Explain
From - ARADHYA RAI BACCHAN
daughter of Aishwarya Rai Bacchan and Abhishek Bacchan
Answers
Answer:
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Step-by-step explanation:
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A Pythagorean triplet is a set of three whole numbers, say A, B and C, such that A^2 + B^2 = C^2. They form the sides of a right-angled triangle.
Extra :-
Three numbers are said to be Pythagorean triplet, if they satisfy the Pythagoras theorem.
We may get Pythagorean triplets by using general formula 2m, m 2² – 1, m ² + 1, where m is a natural number.
(1)
Let m ² – 1 = 3
⇒ m ² = 4
⇒ m = 2
∴ 2m = 2 × 2 = 4 and m ² + 1 = 2² + 1 = 4 + 1 = 5
Thus, the triplet is 3, 4, and 5.
(2)
Let m ² – 1 = 16
⇒ m ² = 16 + 1 = 17
We will not get an integer value of m.
We try to take m ² + 1 = 16
⇒ m ² = 16 – 1 = 15
Again, we will not get an integer value of m.
Now, we take 2m = 16
⇒ m = 8
When m = 8,
m ² – 1 = 8² – 1 = 64 – 1 = 63 and m ² + 1 = 8² + 1 = 64 + 1 = 65
Thus, the triplet is 16, 63, and 65.
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