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Mathematics Coursework - Beyond Pythagoras Sam Coates In a right angled triangle, Pythagoras came to the conclusion that on a right angled triangle the addition of the squares of the two smallest sides are equal to the square of the longest square. Thus the equation - a²+b²=c² Pythagorean Triples are numbers which are positive integers that comply with the rule. For example, the numbers 3, 4, and 5 satisfy the condition 3² + 4² = 5² because 3² = 3x3 =9 4² = 4x4 = 16 5² = 5x5 = 25 and so 3² + 4² = 9 + 16 = 25 = 5² Research Testing the Theory I will now have to find out if the following sets of numbers satisfy a similar condition of (smallest number) ² + (middle number) ² = (largest number) ². a) 5, 12, 13 5² + 12² = 25 + 144 = 169 = 13² b) 7, 24, 25 7² + 24² = 49 + 576 =...

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