Hypothesis: My hypothesis is that if you know the side lengths of a triangle you can predict the angles because of the Pythagorean theorm.
Investigation: The question that I am investigating is "If you know the side lengths of a right triangle, can you predict what the angles will be?". That is the only question that I am investigating.
What I did to investigate this question is going on a website that my teacher suggested for and I used it. I found data on that question. I had to find the following data of sides A and B, the angles would showed up every time we changed the sides. Then I had to write that data down, the angles and the sides. The data was my proof on the question that I had.
The things that I have found so far are the sides and angles. Here are some actual data.
Side 1 Side 2 hyp. < A < B < C
18 24 30 37 degrees 53 degrees 90 degrees
That was one set of my data. I have also found a pattern, when side 1 and side 2 are two close numbers the two angles are close here is one example from my data table.
13.5 12.4 18.28 48 degrees 42 degrees 90 degrees
The two sides 13.5 and 12.4 are two very close numbers and the two angles are close. They are 48 and 42. That is the pattern I have found for all of the data I took down from the website.
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This is a good start to your investigation. See if you can get more specific with your patterns. Can you predict how close the angles will be? If you know the difference between the sides, can you predict the differences between the angles?
ReplyDeleteThis is pretty good, good job.
ReplyDelete-Daniel
this blog is good!you explain yourself in detail and told me what you did to find the data for your investigation.
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