Find a Pythagorean triplet whose greatest member is 26.
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(10,24,26) is a pythagorean triplet whose greatest member is 26
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Answer:
The required Pythagorean triplet is = (10,26,24)
Step-by-step explanation:
Let the standard form of Pythagorean triplet is : 2·m, m² +1, m²-1
Now, the greatest member is given to be 26.
So, Take m²+1 = 26 ( Because m²+1 is the greatest triplet )
⇒ m² = 25
⇒ m = 5
Hence, the required Pythagorean triplet is : (2·m,m²+1,m²-1)
= (10,26,24)
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