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Mandarinka [93]
3 years ago
15

Can 11,61,62 a pythagorean triple

Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0
<span>It's not three Pythagorean
</span><span>does not meet the Pythagorean equation

a = 11
b = 61
c = 62  (</span><span>hypotenuse    a<c>b )

a</span>² + b² = c²
11² + 61² = 62²
121 + 3721 = 3844
3842 ≠ 3844

<span>We use the knowledge of the Pythagorean
</span>catheus         catheus        hypotenuse
  2n + 1          2n(n+1)        2n² + 2n + 1

2n + 1 = 11    2*5(5+1)       2*5² + 2*5 + 1
2n = 11 - 1    10*5              50 + 10 + 1
2n = 10          60                 61
n = 5

<span>Your three should have value
</span>11, 60 , 61
11² + 60² = 61²
121 + 3600 = 3721

<span>Read about Diofantosie</span>
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