Mat 126 Week 4 - Pythagorean Triples

Pythagorean Triples MAT126 : Survey of Mathematical Methods Pythagorean Triples A Pythagorean triple is any 3 b reveals that scum bag be represented by a^2 + b^2 = c^2. There are many different methods for obtaining a Pythagorean triple and there are also an unbounded amount of Pythagorean triples. There are four everyday formulas for generating a Pythagorean triple such as Euclids method, Pythagoras, Platos and Fibonaccis. In order to generate a Pythagorean triple, choose two positive integers, square them, and the outcome would slip away you the squared total of the make sensemarise. One example of a Pythagorean triple would be (8, 15, 17) or 8^2 + 15^2 = 17^2 or 8^2=64, 15^2=225 and 17^2=289. This method results in 64+225=289, thus meaning 8, 15, and 17 is a Pythagorean triple. As I stated before, there are an countless amount of Pythagorean triples than bath be generated. Another Pythagorean triple would be 12, 35, and 37. When using the formula to creat e Pythagorean triples, 144 + 1,225 = 1,369. One can shoot the breeze that 12^2 + 35^2 = 37^2, resulting in a Pythagorean triple. Another Pythagorean triple would be 36, 77, and 85 and can be double checked by stating 36^2=1,296, 77^2=5,929, and 85^2=7,225. By adding 1,296+5,929 the sum is equal to 7,225 which the square root is equal to 85 or 36^2 + 77^2 = 85^2. As I stated earlier, there are an infinite compute of Pythagorean triples so the numbers pool can of course be very high numbers and not only small, or single/double digit numbers. Another example would be 39, 760 and 761. When using the formula for Pythagorean triples you complicate out see 39^2=1,521, 760^2=577,600, 761^2=579,121 or 1,521+577,600=579,121. For the one-fifth and last-place example of a Pythagorean triple I will use the combination of 44, 483, and 485. By writing these out in the formula, matchless will get 44^2=1,936, 483^2=233,289, 485^2=235,225 or 1,936+233,289=235,225 (44^2 + 482^2 = 485^2). As o ne can see from the diverse group of numbers! that were use in the five examples, there are...If you want to get a full essay, order it on our website: BestEssayCheap.com

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