All possible pythagorean triples, visualized
Can we describe all right triangles with whole number side lengths using a nice pattern? Check out Remix careers: https://www.remix.com/jobs Regarding the ...
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When you first learned about the pythagorean theorem that the sum [of] the squares of the two shorter sides on a right triangle always equals the square of its hypotenuse I'm guessing that you came to be pretty familiar with a few examples like the 3 4 5 triangle Or the 5 12 13 triangle, and I think it's easy to take for granted that these even exist Examples were the sum of two perfect squares happens to be a perfect square But keep in mind for comparison if you were to change that exponent to any whole number Bigger than [two] you go from having many integer solutions to no solutions whatsoever. This is Fermat's famous last theorem Now there's a special name for any triplet of whole numbers ABc where a squared plus B. Squared equals C Squared it's called a pythagorean tr...
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When you first learned about the pythagorean theorem that the sum [of] the squares of the two shorter sides on a right triangle always equals the square of its hypotenuse I'm guessing that you came to be pretty familiar with a few examples like the 3 4 5 triangle Or the 5 12 13 triangle, and I think it's easy to take for granted that these even exist Examples were the sum of two perfect squares happens to be a perfect square But keep in mind for comparison if you were to change that exponent to any whole number Bigger than [two] you go from having many integer solutions to no solutions whatsoever. This is Fermat's famous last theorem Now there's a special name for any triplet of whole numbers ABc where a squared plus B. Squared equals C Squared it's called a pythagorean tr...
