Write a Pythagorean triplet whose one member is 6
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Solution
For any natural number m > 1, 2m, m2 − 1, m2 + 1 forms a Pythagorean triplet.
If we take m2 + 1 = 6, then m2 = 5
The value of m will not be an integer.
If we take m2 − 1 = 6, then m2 = 7
Again the value of m is not an integer.
Let 2m = 6
m = 3
Therefore, the Pythagorean triplets are 2 × 3, 32 − 1, 32 + 1 or 6, 8, and 10.
Concept: Finding the Square of a Number
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