Find a Pythagorean triplet with 16 as its smallest number.
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Answer:
the formula is (2m),(m² - 1),(m² + 1)
smallest no. = 2m = 16
2m = 16
m = 8
m²-1 = 64 -1 = 63
m² + 1 = 64 + 1 = 65
Thus, the Pythagorean triplet is 8, 63 ,65.
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(16,63,65) is a Pythagorean triplets....
here 16 is the smallest number
verifying:
(65)²= (63)²+(16)²
= 4225=3969+256
4225=4225
so (16,63,65) is a Pythagorean triplets with smallest number 16
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