I had taking one right angle that had the side length AB=3.0, AC=4.0, and BC=5.0. I decided to switch side length AC to 7.0 and the result of that came out very strange. Although i had changed one of the side length the rest just stayed the same number but the angles changed. The right triangle i once had was now a obtuse triangle.
As if that was enough investigating i tried more thing to find behind the scenes. For example,
Stays The Same | Change to Liking | Change due to AC | Difference | ||
|
| AB=3 | AC | BC |
|
|
| 3 | 4 | 5 |
|
|
| AB=3 | AC=6 | 6.708 | 1.708 |
|
| AB=3 | AC=8 | 8.544 | 1.836 |
|
| AB=3 | AC=10 | 10.44 | 1.896 |
|
| AB=3 | AC=12 | 12.369 | 1.929 |
|
| AB=3 | AC=14 | 14.318 | 1.949 |
|
| AB=3 | AC=16 | 16.279 | 1.961 |
|
| AB=3 | AC=18 | 18.248 | 1.969 |
|
| AB=3 | AC=20 |
| 1.976 |
The difference between these small changes is what came out to be my answer. The answer is (about) 2.0 overall.
What would happen if you changed one side and kept the angles the same? How would the hypotenuse change? What original questions do you have about right triangles?
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