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Beyond Pythagoras Introduction There once lived a Greek Mathematician/Philosopher called Pythagoras. He discovered many interesting theories and I will be looking at one in particular. Pythagoras' theorem of right-angled triangles, which states one clear fact: a2 + b2 = c2 or "The square of the hypotenuse is equal to the sum of the squares of the other two sides". Other mathematical formulas I will be using to aid me in my tasks are: Perimeter = a + b + c and Area = 1/2 x a x b I have decided to investigate the relationship between different aspects of right-angled triangles. I will study the connections between all three sides, the perimeter and the area of the triangles. To do this, I will begin by constructing a table of various measurements taken from some right-angled triangles. The triangles I have chosen, all increase by one unit on the shortest side. In my table,...

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