Find a phthagoream triplet whose small est members is 17
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Given ,
- Smallest member of a pythagorean triplet is 17
To find,
- The pythagorean triplet
Solution ,
We can write the member of pythagorean triplet as :
⇛ 2m , m² - 1 , m² + 1
⇛ (2m)² + (m² - 1)² = (m² + 1)²
Clearly we know that 2m is the smallest
⇛ 2m = 17
⇛ m = 8.5
Finding other members :
⇛ m² - 1
⇛ (8.5)² - 1
⇛ 72.25 - 1
⇛ 71.25 ---------(2nd member)
⇛ m² + 1
⇛ (8.5)² + 1
⇛ 72.25 + 1
⇛ 73.25 ---------(3rd member)
Hence the triplet is 17 , 71.25 , 73.25
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