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.
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How specifically do you intend to investigate this question? What kind of data will you collect?
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ReplyDeleteYou might be able to find more specific patterns if you look at more decimal places. You also might want to collect data on more than one original side length.
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