Pythagorean triplets

... Introduction We are to investigate the conditions and theory of Pythagorean triplets. Pythagoras' theorem states: in any right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. For numbers to be Pythagorean triplets they have to satisfy the condition: a2 + b2 = c2 This may be rearranged to give the a2 = c2 - b2 or b2 = c2 - a2, which are useful when calculating one of the shorter sides. A simple example of this is these numbers: 3 , 4 , 5 Because 32 = 3 * 3 = 9 42 = 4 * 4 = 16 52 = 5 * 5 = 25 32 + 42 = 9 + 16 = 25 = 52 This is the 1st Pythagorean Triple Another example is: 5 , 12 , 13 Another Example is: 7 , 24 , 25

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