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Beyond Pythagoras.
Member rating: No Rating | Words: | Submitted: Wed Mar 17 2004
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Beyond Pythagoras Term Small Side Middle Side Largest Side 1 3 4 5 2 5 12 13 3 7 24 25 4 9 40 41 Part 1: Given the equation S² + M² = L² (where S=Smallest Side, M=Middle Side, and L=Largest Side). Do the numbers in the chart satisfy the condition? T1 3² + 4² = 5² Yes this shows it satisfies the condition 12 + 16 = 25 T2 5² + 12² = 13² Satisfies the condition 25 + 24 = 169 T3 7² + 24² = 25² Satisfies the condition 49 + 576 = 625 T4 9² + 40² = 41² Satisfies the condition 81 + 1600 = 1681 These are all Pythagorean triples. The formula for area is: S x M = 2 Using T1 (Term1) T2 3 x 4 5 x 12 = 6 = 30 2 2 T3 T4 7 x 24 9 x 40 = 84 = 180 2 2 The formula for perimeter is: S + M + L = P (Perimeter) T1 T2 3 + 4 + 5 = 12 5 + 12 + 13 = 30 T3 T4 7 + 24 + 25 = 56 9 + 40 + 41 = 90 With the information which I have...
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