Just to recap the first two entries, in the first entry, I found a way to find Pythagorean triples. My second entry was not very successful.
I am back on Pythagorean triples. If you saw the comments on my second blog entry, Ms. Sheppard-Brick gave me two questions to answer. This entry answers one of them.
To get the second number of a Pythagorean Triple, take a series of consecutive integers. The series must start with 1. Add all the numbers in the series. Take that sum and multiply it by 4. Add 1 to that number to get the third number in the triple. To get the first number in the triple, count how many integers you added to get the second number in the triple. Add 2 to that. You can also find more Pythagorean triples by multiplying all the numbers in a Pythagorean triple you found with the method described before.
I used the first blog entry to find these results. It took some time, but after some fruitless attempts, I finally broke through. The next entry or last entry will answer my own question. That is part of the project. Also, I have to put two comments on two of my classmate's blogs. The project assignment and my classmates' blogs are available on Ms. Sheppard-Brick's blog, Triangle Investigations.
