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PYTHAGOREAN TRIPLETS |
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A Pythagorean triplet is a set of three numbers where the sum of the squares of the first two is equal to the square of the third number. Below are examples of Pythagorean triplets:
One equation satisfying a Pythagorean Triplet A, B, C is Given A is odd, then B = (A2 - 1)/2 C = (A2 + 1)/2 Another equation derived by Plato was (m2+1)2 = (m2-1)2 + (2m)2 where m is a natural number. The above equation is called Plato's Formula. Euclid has also another method, namely: Given integers x and y, A = x2 - y2 B = 2xy C = x2 + y2
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