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Beyond Pythagoras
Member rating: No Rating | Words: | Submitted: Tue Oct 05 2004
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Beyond Pythagoras Pythagoras' Theorem for a right-angled triangle states that the square of the hypotenuse is equal to the sum of the squares of the other two sides, which can be written as a formula for the above triangle: C2 = A2 + B2 A Pythagorean Triple is a set of these numbers, such as 3, 4, 5, where the square of the largest number is equal to the squares of the other two numbers. My task is to investigate different relationships between the numbers in families of Pythagorean Triples. To begin, I will investigate the family where the shortest side of the triangle is an odd number, all 3 sides are positive integers and side C is always 1 more than side B. I am going to start with the shortest side being 1cm and work out 10 more triangles after that. 1cm2 + 2cm2 = 3cm2, so there is no relation...
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