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The numbers 3,4,5 satisfy the condition A²+B²=H²
Member rating: No Rating | Words: | Submitted: Fri Aug 15 2003
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The numbers 3,4,5 satisfy the condition A²+B²=H² 3²+4²=5² 9+16=25 I will now find more sets of numbers that satisfy this condition. This condition can be written as (smallest number)² + (middle number)²= (largest number)² Another set of numbers that satisfy this condition are 5,12,13 and also 7,24,25. I will now out these results that I have into a table to see if I can find a pattern. Pythagorean triple Triple squared A²+B²=H² 3,4,5 9,16,25 9+16=25 5,12,13 25,144,169 25+144=169 7,24,25 49,576,625 49+576=625 As I look at the table I can see that there is a difference of 1 between the length of the middle side and the length of the longest side. I can also see that the length of the middle side + the length of the longest side add together to make the shortest side squared. I can use this to make a formula to find the lengths of the two sides when all you have is the length of the shortest side. I will write this as ...
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