: Find a Pythagorean triplet in which one member is 12.
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4
Answer:
5, 12, 13 is the Pythagorean triplet
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5
- we know 2m, m^{2} -1, m^{2} + 1
- one number of the triplet is 12
- 2m=12
- m=12÷2
- m=6
let, m-1=12
m=12+1
m^{2} = 13
since 13 is not a square number
it is not possible
let,
m+1=12
m=12-1
m^{2}= 11
since 11 is not a square number
it is not possible
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