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What combination of integers can be used to generate the pythagorean triple 8 15 17?
Wiki User
∙ 9y ago
x=4 y=1
10th grade Ioser
Wiki User
∙ 5y agoThe integers are 8, 15 and 17!
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Which combination of integers can be used to generate the Pythagorean triple?
There are infinitely many combinations. Using any pair of integers m and n such that m > n > 0, the integers m2 - n2, 2mn and m2 + n2 will form a Pythagorean triple.
What is a pythagorean triple?
A Pythagorean triple is three positive integers a, b, and c, such that a^2 + b^2 = c^2. A well known Pythagorean triplet is (3,4,5). If (a, b, c) is a Pythagorean triplet, then so is (ka, kb, kc) for any positive integer k.
Is 10 14 17 considered a pythagorean triple?
Nearly but not quite a Pythagorean triple
What is the value of x if (13 84 x) is a Pythagorean triple?
What is the value of x if (13, 84, x) is a Pythagorean triple?
How does Euclid's Formula Work?
Euclid's Formula is a method of generating Pythagorean Triples. A Pythagorean Triple is a set of three positive integers (whole numbers), which satisfy the equation a2 + b2 = c2. The smallest Pythagorean Triple is 3, 4, 5. Euclid's Formula says this: If you choose two positive integers m and n, with m < n, then the three numbers n2 - m2, 2mn and n2 + m2 form a Pythagorean Triple. For example, if m = 5 and n = 7, n2 - m2 = 49 - 25 = 24, 2mn = 70, and n2 + m2 = 49 + 25 = 74. 24, 70, 74 is a PT, because 242 + 702 = 742. That's how to use Euclid's Formula. If the question means why does it work, then: (n2 - m2)2 + (2mn)2 = (n4 + m4 - 2n2m2) + (4m2n2) = n4 + m4 + 2n2m2, which is the same thing as (n2 + m2)2 . Two things to note are: The Formula does not generate all possible Triples, and it will generate Primitive Triples (ones with no common factor), only if m and n have no common factor, (except 1).
Which combination of integers can be used to generate the Pythagorean triple?
There are infinitely many combinations. Using any pair of integers m and n such that m > n > 0, the integers m2 - n2, 2mn and m2 + n2 will form a Pythagorean triple.
When do two consecutive positive integers form part of a Pythagorean triple?
The integers 3 and 4 form part of the 3-4-5 Pythagorean triple.
How do you find a pythagorean triple?
There are infinitely many Pythagorean triples. To find a Pythagorean triple take two positive integers x, y with x > y. A Pythagorean triple is of the form x2 - y2, 2xy, x2 + y2.
Which set of integers is a Pythagorean triple?
Pythagorean triples: 3, 4 and 5 or 5, 12 and 13 are two of them
What is the form of the Pythagorean triple generator?
If p and q are integers, then a = p2 - q2 b = 2pq, and c = p2 + q2 form a Pythagorean triple. Furthermore, if p and q are co-prime then the triple is primitive Pythagorean.
What is a pythagorean triple?
A Pythagorean triple is three positive integers a, b, and c, such that a^2 + b^2 = c^2. A well known Pythagorean triplet is (3,4,5). If (a, b, c) is a Pythagorean triplet, then so is (ka, kb, kc) for any positive integer k.
How do six eight and ten form a Pythagorean triple?
6, 8, and 10 is simply a scaled up version of a 3,4,5 triangle (simply double each side). Since 3,4,5 is a Pythagorean triple, so is the scaled up triangle. Alternatively, since 6, 8, and 10 are integers (whole numbers) that fulfill the Pythagorean theorem (62 + 82 = 102 ), they are a Pythagorean triple.
Are multiples of triples Pythagorean Triples?
No, the multiple of any random triple is not a Pythagorean triple.
Is 10 14 17 considered a pythagorean triple?
Nearly but not quite a Pythagorean triple
Is 345 a Pythagorean triple?
If you mean 3, 4 and 5 then yes it is a Pythagorean triple
What is the value of x if (13 84 x) is a Pythagorean triple?
What is the value of x if (13, 84, x) is a Pythagorean triple?
What is the pythagorean triple of 16 30?
34
