Monday, March 23, 2009

What I will be investigating



Question: We have discovered that there are patterns that appear in the lengths of right triangles with the angles 30-60-90 and 45-45-90. Are there any other any other angle combinations that show similar patterns?

I am going to see if a triangle with the angles, 20-70-90, is another one of these combinations. So far, I have found out that a triangle with angles, 20-70-90's shortest side doubles as its hypotenuse increases by one. To continue my investigation, I will be going to some given sites and try out some triangles with angles measures, 20-70-90 and change side lengths to see how it will affect the triangle.




DATA:

Line AC: 1 2 3 4 5 6 7 8 9 10
Line AB: .34 .68 1.02 1.36 1.71 2.05 2.39 2.73 3.07 3.42
Line BC: .93 1.87 2.81 3.75 4.69 5.63 6.57 7.51 8.45 9.39

3 comments:

  1. This is wonderful! You have already found a neat pattern and including the data makes it even more convincing. It sounds like you have some great ideas about what to do next. I can't wait to see what else you find.

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  2. i went to paint then i drew the triangle and then u save it in a picture folder then u go to edit post then click insert picture the browse it then insert it then u have ur pic. after its in you get to move it around to the spot u want it to be. I like ur templete! lolz

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  3. Interesting!
    so what kind of patterns did you find?

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