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Pythagorean triplets are sets of three positive integers (a), (b), and (c) that satisfy the equation (a^2 + b^2 = c^2). The most well-known example is the triplet (3, 4, 5). These triplets represent the lengths of the sides of a right triangle, where (c) is the length of the hypotenuse. Other examples include (5, 12, 13) and (8, 15, 17).
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What is Pythagorean triplets of integers?
Pythagorean triplets are sets of three positive integers (a), (b), and (c) that satisfy the equation (a^2 + b^2 = c^2). This relationship arises from the Pythagorean theorem, which relates the sides of a right triangle. A well-known example of a Pythagorean triplet is (3, 4, 5), where (3^2 + 4^2 = 5^2). Pythagorean triplets can be generated using various formulas, including those involving integers (m) and (n).
What is the special name for three integers whose lengths form a right triangle?
Pythagorean triplets.
What set of numbers is a pythagorean triangle?
Pythagorean triplets
How many pythagorean triplets are there?
infinite............
What number set represents a right triangle?
Fermat's triplets * * * * * No, wrong mathematician. They are Pythagorean triplets.
What is Pythagorean triplets of integers?
Pythagorean triplets are sets of three positive integers (a), (b), and (c) that satisfy the equation (a^2 + b^2 = c^2). This relationship arises from the Pythagorean theorem, which relates the sides of a right triangle. A well-known example of a Pythagorean triplet is (3, 4, 5), where (3^2 + 4^2 = 5^2). Pythagorean triplets can be generated using various formulas, including those involving integers (m) and (n).
What is the special name for three integers whose lengths form a right triangle?
Pythagorean triplets.
Which set of numbers could be the lengths of the sides of the right triangles?
There are infinitely many triplets, and in general, they do not have a name. If all three are integers, then they are known as Pythagorean triplets.
What set of numbers is a pythagorean triangle?
Pythagorean triplets
How many pythagorean triplets are there?
infinite............
What number set represents a right triangle?
Fermat's triplets * * * * * No, wrong mathematician. They are Pythagorean triplets.
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.
Which set of integers is a Pythagorean triple?
Pythagorean triples: 3, 4 and 5 or 5, 12 and 13 are two of them
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.
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 you generate pythagorean triples?
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.
What is a pythagorean tripple?
sets of integers that make right triangles like : (3,4,5) , (5,12,13)....
