I have been investigating a lot since my last post. Even after all of my investigating I have struggled to find a pattern that continues perfectly and well. The patten that I found in my first post was really strange and hard to understand so I worked on it more and found that it keeps on going even in higher and higher sides and angles. For the third question I also went to PKOW's blog and looked at his data like he suggested and yet even after all that the third question still confuses me a lot. The info I had from the last post that I did not put goes as follows.
3,4,5 Triangle
6,8,10
12,16,20
24,32,40
and it keeps going by the multiples forever in that pattern/direction. I used http://www.members.shaw.ca/ron.blond/SimilarTriangles.APPLET/index.html to help me find these different data clues. I looked over the other triangles that were not right triples and saw that they were a lot different from the right triples that I had been looking at. There order was not in a pattern because it just went up and down unevenly and then down again but not in a normal pattern. These question were hard to investigate and gather information from and I am still a little confused about it. But I think that I know now how to look for and find patterns in Pythagorean Triples.
Wednesday, April 8, 2009
Friday, April 3, 2009
I have investigated a bit further into the question that I had last week. What i learned is not that much. This question is hard because the information is hard to gather for it. What i learned last week is that if a triangle has sides that measure 3,4,5 you would have a right triangle. Now i have not much gotten farther after that. I have learned that sides that equal the same it is equilateral that mean it is all even obviously. What i also learned is that anything else would be either a acute or a obtuse triangle. I have not advanced far because i did not really know what to look for in my investigation. I will try and clarify what i should be looking for. That will help me generalize what i need to do for my final post.
Tuesday, March 31, 2009
3rd Post
On my last post I was doing question number 4. Now I am working on question number 3. Question number 3 states:If you know the side lengths of a right triangle, can you predict what the angles will be? I will answer this by looking at the websites she has provided us. I found one thing in my short time investigating though. I found that the numbers 3,4,5, all make a right triangle. This means that any multiple of these will also end up being a right triangle. This is good to know because I can now predict the angles with all of these factors. If it is 9,16,15 the angles will be 90 degrees and two angles with 45 degrees.
This leads me to know the angles of any triangle that can be divided by 3,4,5. So I know now that most angles even if the sides are huge are equal to a right triangle. This will help me get farther into this because it shortened my range by a lot. So now I can more accurately predict what the angles combined with the side are.
This leads me to know the angles of any triangle that can be divided by 3,4,5. So I know now that most angles even if the sides are huge are equal to a right triangle. This will help me get farther into this because it shortened my range by a lot. So now I can more accurately predict what the angles combined with the side are.
Tuesday, March 24, 2009
2nd M@th P0st
After investigating more on the triangles I have found out a few more things. What I did differently this time I put one of the sides of it to the smallest possible number it could be. From there I brought the other line down by one every time and wrote down what the angles were through the whole process. They went as followed.
As you can see Angle C remained constant the whole entire time. The only angles that changed we angles A and B. They changed at a constant rate. The pattern I noticed for angle A was that it constantly went up in the difference between its last angles number. The lowest number was .79 and the biggest was 18.43. The difference get really big as you can see. This is almost exactly the same for angle B. It goes just in a different way. The only difference is that in angle B there is a .1 difference in all of its numbers. The pattern is constant to say that when you change the sides of a triangle the angles of it change consistently with it.
My next plan is to subtract both of them to see how much differently his will affect them. With the last two I have subtracted evenly from both sides and they have ended up subtracting constantly. So now I will try and make them subtract unevenly. I will just see what happens.
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As you can see Angle C remained constant the whole entire time. The only angles that changed we angles A and B. They changed at a constant rate. The pattern I noticed for angle A was that it constantly went up in the difference between its last angles number. The lowest number was .79 and the biggest was 18.43. The difference get really big as you can see. This is almost exactly the same for angle B. It goes just in a different way. The only difference is that in angle B there is a .1 difference in all of its numbers. The pattern is constant to say that when you change the sides of a triangle the angles of it change consistently with it.
My next plan is to subtract both of them to see how much differently his will affect them. With the last two I have subtracted evenly from both sides and they have ended up subtracting constantly. So now I will try and make them subtract unevenly. I will just see what happens.
Friday, March 20, 2009
Wh@t Im D0ing 4 School
My question that I have to answer is: If you take a right triangle, and change one side length, how does that change the other side lengths? How does that change the angles of the triangle?
I will solve this by investigating right triangles and how they change from just one little change of a side. Also I will try and use logic and my previous math knowledge to be able to figure this tough question out. I will also be using the websites that Ms. Sheppard-Brick sent to us. I will use these sites to subtract lengths from a triangle and then see how that affects both the angles and the sides just like the question wanted me to do.
Here is what I have found out:
Side Lengths Angle BC Angle AB
9 45 45
8 41.63 48.37
7 37.88 52.13
6 33.69 56.31
5 29.05 60.95
4 23.96 66.04
3 18.43 71.57
2 12.53 77.47
1 6.34 83.66
Each time there is a change of .39. Then it goes up by 2 then 4 and then it starts going down from the max of .46. The pattern goes, add 2, 4 then subtract 1 then 1 then 7 then 8. The pattern is not good and hard to understand. I will do more research on it to clarify it better for next time.
I will solve this by investigating right triangles and how they change from just one little change of a side. Also I will try and use logic and my previous math knowledge to be able to figure this tough question out. I will also be using the websites that Ms. Sheppard-Brick sent to us. I will use these sites to subtract lengths from a triangle and then see how that affects both the angles and the sides just like the question wanted me to do.
Here is what I have found out:
Side Lengths Angle BC Angle AB
9 45 45
8 41.63 48.37
7 37.88 52.13
6 33.69 56.31
5 29.05 60.95
4 23.96 66.04
3 18.43 71.57
2 12.53 77.47
1 6.34 83.66
Each time there is a change of .39. Then it goes up by 2 then 4 and then it starts going down from the max of .46. The pattern goes, add 2, 4 then subtract 1 then 1 then 7 then 8. The pattern is not good and hard to understand. I will do more research on it to clarify it better for next time.
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