Tuesday, March 31, 2009

BLOG ENTRY#3

the question i began with was:Pythagorean triples are right triangles that have integer side lengths. how many of these are there? can you predict when they will occur?
in the second blog entry i began noticing patterns about the triples that i had discovered and listed in my previous entries. one question that was brought to my attention was if it was possible to have more than one triple that started with the same number? the answer is yes. in the data that i collected so far i have found two pair of triples that begin with the same number.
TRIPLES THAT START w/ THE SAME #:
9-12-15;12-13-16; 20-21-19
9-40-41;12-16-20; 20-21-29

one question that im going to do my best to investigate is ,WHILE MEASURING A TRIANGLE WHEN CAN YOU TELL THAT THE LENGTHS ARE A SET OF PYTHAGOREAN TRIPLES? IF SO IS HIS A MATH THING THAT YOU ARE JUST GOING TO HAVE TO REMEMBER ALL OF THEM OR IS THERE A WAY YOU CAN FIGURE IT OUT USING OTHER METHODS? like for example can you use the diaphantus formula to prove that its one of many Pythagorean Triples?






1 comment:

  1. This sounds like a good question to investigate. How do you think you will go about investigating it? Have you started looking at other students' blogs?

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