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Mathematics Coursework - Beyond Pythagoras The numbers 3,4 and 5 satisfy the condition 3² + 4² = 5² Because 3² = 3 x 3 = 9 4² = 4 x 4 = 16 5² = 5 x 5 = 25 And so 3² + 4² = 9 + 16 = 25 = 5² This condition also applies to the following sets of numbers (smallest number)² + (middle number)² = (largest number)² The numbers 5, 12 and 13 satisfy the condition 5² + 12² = 13² Because 5² = 5 x 5 = 25 12² = 12 x 12 = 144 13² = 13 x 13 = 169 And so 5² + 12² = 25 + 144 = 169 = 13² This condition also applies to the following sets of numbers (smallest number)² + (middle number)² = (largest number)² The numbers 7, 24 and 25 satisfy the condition 7² + 24² = 25² Because 7² = 7 x 7 = 49 24² = 24 x 24 = 576 25² = 25 x 25 =...

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