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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.
What are whole numbers that satisfy the pythagoreartheorm called?
Pythagorean Triples
What is the name given to three whole numbers that can be the three sides of a right angled triangle?
Pythagorean triple
What is a Pythagorean triads list examples?
3 whole numbers that are the three sides of a right triangle. 3,4,5; 5,12,13
What are the three smallest whole numbers that conform to the Pythagorean rule?
299 777 34 2 6 because im smrt
What is an Pythagorean theorem irrational number?
It need not be. There are infinitely many Pythagorean triangles whose sides are not only rational, but whole numbers. For example, (3, 4, 5), (5, 12, 13), (7, 24, 25).
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.
How are decimals and whole numbers similar?
All whole numbers are decimal numbers.
What are two ways in which whole numbers and decimal numbers are different?
Whole numbers are a proper subset of decimal numbers. All whole numbers are decimal numbers but not all decimal numbers are whole numbers.
Are rational numbers whole numbers?
The set of rational numbers includes all whole numbers, so SOME rational numbers will also be whole number. But not all rational numbers are whole numbers. So, as a rule, no, rational numbers are not whole numbers.
Why are different whole numbers not always a whole number?
Different whole numbers are always whole numbers, but I suspect you meant to ask about the difference between whole numbers. You can subtract two whole numbers and get a negative result. Whole numbers can't be negative.
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).
