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Beyond Pythagoras  

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Beyond Pythagoras Pythagoras Theorem is a2 + b2 = c2. 'a' being the shortest side, 'b' being the middle side and 'c' being the longest side (hypotenuse) of a right angled triangle. The numbers 3, 4 and 5 satisfy this condition: 32 + 42 = 52 32 = 3 x 3 = 9 42 = 4 x 4 = 16 52 = 5 x 5 = 25 Therefore, 32 + 42 = 9 + 16 = 25 = 52 For the numbers 3, 4 and 5, the perimeter and area are as follows: Perimeter = 3 + 4 + 5 = 12 Area = 1/2 x 3 x 4 = 6 The numbers 5, 12 and 13 also satisfy this condition. 52 + 122 = 132 52 = 5 x 5 = 25 122 = 12 x 12 = 144 132 = 13 x 13 = 169 Therefore, 52 + 122 = 25 + 144 = 169 = 132 5, 12, 13 Perimeter = 5 + 12...

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