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BEYOND PYTHAGORAS In this report, I am going to investigate the Pythagorean Triple. The Pythagoras Theorem was invented by Pythagoras, a Greek mathematician and philosopher who lived in the 6th centaury BC. The Pythagoras Theorem only works in right-angled triangles, where there are three different lengthed sides, one short, one medium, and the other long. A Pythagorean Triple is when a set of numbers satisfy the condition: Shortest side2 + Medium side2 =Longest side2. Also all the sides have to have positive integers. Here is an example of a Pythagorean Triple: 1) The above triangle is a Pythagorean Triple because it satisfies the condition with all its sides being a positive integer. I will now work out the perimeter and area of the above Pythagorean Triple. There are also other Pythagorean Triples. Here they are: 2) 3) Both the triangles 2) and 3) are Pythagorean Triples because they satisfy the condition and all their sides...

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