My question: If you know the angles of a right triangle, can you predict the lengths of the triangle?
I am going to show you the data that I found for the question the I am investigating on.
Side A, Side B, Hypotenuse
18, 24, 30
18, 18, 25.24
11.6, 19.7, 22.83
11.6, 8.2, 14.15
27.4, 13.7, 30.64
20.5, 16.2, 26.04
14.01, 20.81, 25.14
25.72, 20.81, 33
18, 28.8, 33.91
14.2, 28.8, 32.07
13.1, 20.6, 24.5
All of that data was the lengths of the right triangle. I am going to assume the angles for all of the lengths. First I know that the Hypotenuse has to equal to 90 degrees. Also side A and B has to equal to 90 degrees in total. I have noticed that if there is a difference of the side by 1 there is a difference of the angles are around 2 and 3 degrees. For the first row the lengths are 18, 24, and 30. I know 30 is 90 degrees because its the hypotenuse. The difference of the two lengths Side A and B are 6. The difference of the angles are about 12-18 degrees. I can't find the exact degrees, I can only if I know more information for one of the angles. That is why I wanted to investigate on that question.
My next question is that if Side B and the side of the Hypotenuse are close why are the two angles are always far apart?
Example: Side A 14.2, Side B 28.8, Hyp. 32.07, < A 26, < B 64, and 90 degrees.
True Data.
Friday, April 3, 2009
Wednesday, April 1, 2009
dj5=cp3
The question you asked: Do you think that the patterns will be the same if you change the initial size of you triangle?
If I change the initial size of the triangle I think the patterns will be the same because there is no change of the angles, the triangles just become smaller.
My question: If you know the angles of a right triangle, can you predict the lengths of the triangle?
I think this question is pretty hard but I am determined to find the best possible answer. Well I don't think you can find the lengths with a good assumption because there is no information on the lengths. Here is some data on my question.
Side A 17, Side B 18, Side C 24.76.
There is a difference of the sides by 1, and the angles of the two sides have to equal to 90 degrees so an assumption would be 46 and 44 degrees, and the other would be 90 degrees because its a right angle. That is how you find an assumption of the 3 lengths of a right angle.
If I change the initial size of the triangle I think the patterns will be the same because there is no change of the angles, the triangles just become smaller.
My question: If you know the angles of a right triangle, can you predict the lengths of the triangle?
I think this question is pretty hard but I am determined to find the best possible answer. Well I don't think you can find the lengths with a good assumption because there is no information on the lengths. Here is some data on my question.
Side A 17, Side B 18, Side C 24.76.
There is a difference of the sides by 1, and the angles of the two sides have to equal to 90 degrees so an assumption would be 46 and 44 degrees, and the other would be 90 degrees because its a right angle. That is how you find an assumption of the 3 lengths of a right angle.
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