Tuesday, March 31, 2009

Daniel is still the man. iBall.

Question: If you change a side of a right triangle, does the angle change and if so how much?

If you have a right triangle and you change a side < A or < B will change depending on which side you change. If you change side BC, angle B will change and if side AC, angle A will change. First before I move anything the sides are 9, 9, and 12.728 and the angles are 45, 45, and 90 degrees. Here is an example of the data that I found.

I changed side BC
1. < A 37.88, < B 52.13, < C is always 90, side AC=9, BC=7, AB=11.402
When I changed side BC angle A got smaller and angle B got bigger as you can see in the data above.
So when I changed one side that angles change except angle C. I am going to show you another example but I am going to change side AC.

2. < A 60.95, < B 29.05, < C 90, side AC=5, BC=9, AB=10.296
I changed side AC and angle A got bigger and angle B got smaller and angle C stays the same. The angles change when I change a side. When there is a difference of the sides by one the angle are a difference of 7 degrees. The two sides of the data are 9 and 5, and the difference between the angles is about 32 degrees.

2 comments:

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  2. Do you think that the patterns will be the same if you change the initial size of your triangle? Also, it would help if you organized your date into a table. What original questions about right triangles do you have?

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