Write a Pythagorean triplet whose smallest member is 8.
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Example 2 Write a Pythagorean triplet whose smallest member is 8. We know 2m, ^2−1 and ^2+1 form a Pythagorean triplet. Given, Smallest member of the triplet = 8. Let 2m = 8 2m = 8 m = 8/2 m = 4 Let ^−" = 8" ^2 = 8 + 1 ^2 = 9 ∴ m = 3 Let ^+ = 8 ^2 = 8 − 1 ^2 = 7 Since, 7 is not a square number, ∴ ^2+1 ≠ 8 It is not possible.
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8,16,24
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8,16,24
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