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Beyond Pythagoras Introduction. A Pythagorean triple is a set of three integers a, b and c that specify the lengths of a right angled triangle - that is c2 = a2 + b2. The numbers 3, 4 and 5 is one example. Another way of writing this is (smallest number) 2 + (middle number) 2 = (largest number) 2 An example of the (3,4,5) triangle: The numbers 3,4 and 5 can be lengths, in appropriate units, of the sides of a right angled triangle. In my investigation I will also look at perimeter and area. The perimeter of this triangle is: 3+4+5=12 units. The area of the triangle is: 1/2 x 3 x 4= 6 units. In my investigation I will observe patterns and work out formulae relating a side or measurement to the term number. I will see if each pattern has the same or different formulae. I will start with the shortest side...

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