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Contents: Introduction 3,4 Satisfying the condition/Table 1 5,6 Calculations to find results in sequence 7 Finding the nth term for Table 1 7,8 Perimeter and area for Table 1 9,10,11 Enlarging Triangles 11,12 Conclusion 13 Table of notations: S = Smallest side M = Middle side L = Longest side A = Area of triangle P = Perimeter of triangle E = Enlargement N = Position in table (used in nth term) Introduction: The Greek mathematician and philosopher Pythagoras developed Pythagoras' Theorem. Several philosophers who no doubt had a considerable influence on his future life had taught him from an early age. Pythagoras' Theorem: C A B Pythagoras' Theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides i.e. BC2 = AB2 + AC2 (Refers to the diagram above) In a triangle such as: 5 3 4 32 + 42 = 52 The sum of the lengths of the two short sides equals the length of the hypotenuse. If the three numbers are...

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