Hello,
Since my last blog entry I've been investigating a couple question that I've asked myself and other had asked me.
"Is there any other side lengths, of a right triangle, that are not triples?"
My answer to this is simple. No. There isn't any other whole numbers that can create a 90 degree triangle without it being a decimal. For example, in my previous blog the right angle stayed the same but as i changed some numbers it became clear that all of the side length would have to change also.
As i was messing around with the numbers to see if i can find any close right triangle that isn't a triple, three numbers seem to pop up in my face. The way i came up with those three number was by thinking that, if i were to add one to the triples would that give me another right triangle? hm mm' These particular number were 8-9-12 (estimated from 12.042). although it had made a triangle with a angle that was 89.602, it seems very close to a right triangle. I have tried to see if there was more i can be able to depict out of this theorem.
I know they might be some question about whether or not there is more "triples" that seem close to right trianglesm but i will make sure to get more one that.
Wednesday, April 8, 2009
Friday, April 3, 2009
Blog 4
"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?"
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,
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?
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?
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