Pythagorean triples are right triangles that have integer side lengths. How many of these are there? Can you predict when they will occur?
I know that 3-4-5 are Pythagorean triples but when you add 3 to it self, 4 to itself, and 5 to itself you get another triple 6-8-10. I had to make sure I was right so I had done it to the rest of the triples and it shows I was correct. I came up with a equation that seem to work for all of the basic triples. This equation has to be applied to all three number to find more triples and know when they occur. For example, 5-12-13. My equation is 2n, and if you apply this to the 5-12-13 triplet you will get another triplet which is 10-24-26.
This is a good pattern. Does it continue; for example, could I add the new triple to itself and get another triple? Is there any other operation I could do on a triple to get another triple?
ReplyDeleteThat is an interesting pattern,i think that the pattern continues forever.
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