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Beyond Pythagoras.  

Member rating: No Rating | Words: | Submitted: Wed Oct 15 2003

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The numbers 3,4 and 5 satisfy the condition because 3 + 4 = 5 = 9 + 16 = 25 3 5 And so 3 + 4 = 5 4 The perimeter and area of this triangle are: Perimeter = 3 + 4 + 5= 12 units Area= 1/2 base x height = 1/2 x 4 x 3 = 6 units I am going to investigate to see if the following numbers satisfy the similar condition of (smallest number) + (middle number) = (largest number) I am keeping the smallest side an odd number. I will draw diagrams to help me solve the problem more easily. 5, 12, 13 5 + 12 = 13 5 13 25 + 144 = 169 And so 5 + 12 = 13 12 The perimeter and area of this triangle are: Perimeter = 5 + 12 + 13 = 30 units Area = 1/2 base x height = 1/2 x 12 x 5 = 30 square units I am now going to...

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