The Hypotenuse "BC" had changed but not by to much. I had tried this investigation with the triangle triple, 3-4-5. I had kept 3 the same and the angle was 90 degrees. The difference between the changes of the Hypotenuse was not much, but it changed about 1.0. For example,
| AB | AC | Hypotenuse | Angle | Differents between AC and BC |
| 4 | 3 | 5 | 90 | |
| 4 | 4 | 5.657 | 90 | 0.657 |
| 4 | 5 | 6.403 | 90 | 0.746 |
| 4 | 6 | 7.211 | 90 | 0.808 |
| 4 | 7 | 8.062 | 90 | 0.851 |
| 4 | 8 | 8.944 | 90 | 0.905 |
| 4 | 9 | 9.849 | 90 | 0.925 |
| 4 | 10 | 10.774 | 90 | 0.925 |
| 4 | 11 | 11.705 | 90 | 0.931 |
| 4 | 12 | 12.649 | 90 | 0.944 |
What i had found out is that if you were to change one side by 2 then the difference would be 2 but if u change it by just 1 the difference would also be 1. One question that i have about right triangles is, Is there any other side lengths, of a right triangle, that are not triples?
Yikes, part of your table ended up off the page, so I can't really see your whole pattern. Your description is not quite specific enough for me to follow without the table. You should check with me about how to make tables in your blog - this is a useful skill and would help make it more clear what you are talking about.
ReplyDeleteI see how your pattern works for most of the table. However when you changed side AC, 7&8, the hypotenuse did not change by one. It changed by a decimal. Do you think there is a reason for this? Or do you think that those sides just didn't fit your theory?
ReplyDeletei realy like the question. i like that you answered your question in detail. i also like how you set up your data, i could see your numbers clearly but i would like you to be a bit more clear on your pattern.
ReplyDelete