If one member of the Pythagorean triplet is 2m then the other two members are a) m, 2 + 1 b). 2 +1, 2 -1 c). 2 , 2 + 1 d) 2 , 2 -1
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⇝If one member of Pythagorean triplets is 2m then other then other two members are:m,m²+1,m²-1,m²+1,m²,m²-1,m²,m²+1
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Answer:
We know that, for any natural number m greater than 1, (2m, (m²-1), (m²+1)) is a pythagorean triplets.
So,
One number is 2m
Then other numbers are (m²+1) and (m²-1)
Let us take an example to understand.
One number be 4
The the pythagorean triplet,
2m = 4
\implies⟹ m= 2
m²+1 = 2²+1 = 4+1 = 5
and
m²-1 = 2²-1 = 4-1 = 3
Now,
3² + 4² = 5²
9 + 16 = 25
So,
(3,4,5) are pythogorean triplets.
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