write a pythagorem triplet whose one member is 6
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Answer:
For any natural number m > 1, we have (2m) ² + (m2 – 1)²= (m2 + 1)² . So, 2m, m² – 1 and m² + 1 forms a Pythagorean triplet.
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Solution:
Let 2m = 6
m = 3
m²+ 1 = 3² + 1= 9 + 1 = 10
m²- 1 = 3 2 - 1 = 9 - 1 = 8
check:
6 ² + 8² = 36 + 64 = 100 = 10²
Hence, the triplet is 6, 8 & 10
Explanation:
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