infinite............
Pythagorean triplets
Fermat's triplets * * * * * No, wrong mathematician. They are Pythagorean triplets.
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).
Pythagorean triplets.
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).
Pythagorean triplets
Fermat's triplets * * * * * No, wrong mathematician. They are Pythagorean triplets.
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.
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).
Pythagorean triplets.
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).
How about 3, 4 and 5 or 6, 8 and 10 in fact any of a Pythagorean triplets will are possible.
Yes. The square of an odd number is odd. So, if a, b and c are odd then a2, b2 and c2 are also all odd. But the sum of two odd numbers must be even. So for these to be Pythagorean, all three squares cannot be odd. Thus there are no odd triplets.
There are more than four, but so I'll give you the ones that I know: 3-4-5. 5-12-13. 8-15-17, 7-24-25. 12-35-37, and 9-40-41. Multiples of these triplets work as well.
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.
Since there are an infinite amount of whole numbers to make Pythagorean triples, there would be an infinite amount of Pythagorean triples to make.
You could use the Pythagorean Theorem and many triangles You could use the Pythagorean Theorem and many triangles