When I went back to one of the websites I had, I decided to put in side lengths over 10. When I did this, I noticed that when you get to the length of the hypotenuse being 17, the second longest side turned out to be two less than the side of the hypotenuse. For example, if the hypotenuse was 17, the second longest side would be 15. This only starts when I got to the hypotenuse being 17. 16 and down were all one apart. Also, for the shortest side, for three numbers in a row (for the hypotenuse side) the shortest side is the same number. for example, if the hypotenuse of three triangles was 12, 13, and 14, the shortest side would be 4. When I got to side lengths 33 and 34 for the hypotenuse, the longest side for both was 31 and the shortest side for both was 11. From then on, the second longest side is three numbers smaller instead of the starting 1. When I got to 49 and 50 being the length of the hypotenuse, the longest side were the same (46 and 46), but the shortest side were different (16 and 17).
A question that I have been wondering about is, do all triangle angle combinations (like 30-60-90 or 20-70-90) all have the same side lengths if you change the length of the hypotenuse?
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I am having a hard time following your description above. It would help to include a data table. I think that your new question is good - I am excited to see what you will discover. Are you planning to change the length of the hypotenuse and measure the change in the sides or to change the length of the sides and measure the length of the hypotenuse?
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