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There are many different methods: the simpler methods will generate lots of triplets but not all. Comprehensive generators tend to be very complex.
So here is a simple one: Euclid's formula
Take any two positive integers x and y and suppose x > y. Then
A = x2 - y2
B = 2xy
C = x2 + y2
form a Pythagorean triplet.
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∙ 11y ago
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Are the numbers 9 12 15 pythagorean triples?
Yes
What set of numbers represents the lengths of the sides of a right triangle?
They are Pythagorean triples
Which set of numbers represent the sides of a right angle triangle?
They are Pythagorean triples
What combination of integers can be used to generate the pythagorean triple 8 15 17?
x=4 y=1
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).
Sets of Pythagorean triples?
3,4,5 1,2,3 these are sets of pythagorean triples
How many Pythagorean triples are there?
Since there are an infinite amount of whole numbers to make Pythagorean triples, there would be an infinite amount of Pythagorean triples to make.
Are multiples of triples Pythagorean Triples?
No, the multiple of any random triple is not a Pythagorean triple.
Are 6 8 and 12 Pythagorean triples?
No.
Which set of integers is a Pythagorean triple?
Pythagorean triples: 3, 4 and 5 or 5, 12 and 13 are two of them
Which 2 groups of people had rules for generating Pythagorean triples before they were discovered and called the Pythagorean Theorem?
Chinese and babylonians
What are Pythagorean triples in 243541.2?
You seem to have squashed the numbers together but 4, 3 and 5 make up a Pythagorean triple.
Are the numbers 9 12 15 pythagorean triples?
Yes
What are whole numbers that satisfy the pythagoreartheorm called?
Pythagorean Triples
How can pythagorean triples help you solve a problem?
Beacause it works
How many Pythagorean triples did Babylonians find?
no one knows.
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.
