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Pythagorean Triple by an integer (any integer). Sides of a known triple: 3,4,5 Multiply by 2 = 6,8,10

Verification: 6² + 8² = 10² = 100 Multiply by 3 = 9,12,15 verification: 9² + 12² = 15² = 225 Multiply by 4 = 12,16,20

verification: 12² + 16² = 20² = 400 Sides of a known triple: 5,12,13 Multiply by 2 = 10,24,26 verification: 10² + 24² = 26² = 676 Multiply by 3 = 15,36,39 verification: 15² + 36² = 39² = 1521 Multiply by 4 = 20,48,52 verification: 20² + 48² = 52² = 2704 Sides of a known triple: 7,24,25 Multiply by 2 = 14,48,50 verification: 14² + 48² = 50² = 2500 Multiply by 3 = 21,72,75 verification: 21² + 72² = 75² = 5625 Multiply by 4 = 28,96,100 verification: 28² + 96² = 100² = 10000 In addition, there are many formulas A Pythagorean Triple (a² + b² = c²) can be calculated using the following method: By choosing any tow integers: x and y. y must be greater than x. The sides of a new Pythagorean Triple are: a = 2*x*y, b = y² – x², and c = y² + x² for example, let x = 5 and y = 6 a = 2*x*y = 2*5*6 = 60 b = y² – x² = 6² – 5² = 36 – 25 = 11 c = y² + x² = 6² + 5² = 36 + 25 = 61 the sides of the new Pythagorean Triple are: 60,11,61 verification: 60² + 11² = 61² = 3721 Here’s how I calculate a possible Pythagorean Triples, use the following formula: a = 2*d*x*y b = d*(y^2 – x^2) c = d*(y^2 + x^2) d = any positive integer y > x > 0 x and y must be positive integers x and y must be even, odd; or odd, even integers