Monday, March 30, 2009

Blog 3

"If you take a right triangle, and change one side length, how does that change the other the other side lengths? How does that change the angles of the triangle?"
I had taking one right angle that had the side length AB=3.0, AC=4.0, and BC=5.0. I decided to switch side length AC to 7.0 and the result of that came out very strange. Although i had changed one of the side length the rest just stayed the same number but the angles changed. The right triangle i once had was now a obtuse triangle.

As if that was enough investigating i tried more thing to find behind the scenes. For example,




Stays The Same

Change to Liking

Change due to AC

Difference



AB=3

AC

BC




3

4

5




AB=3

AC=6

6.708

1.708



AB=3

AC=8

8.544

1.836



AB=3

AC=10

10.44

1.896



AB=3

AC=12

12.369

1.929



AB=3

AC=14

14.318

1.949



AB=3

AC=16

16.279

1.961



AB=3

AC=18

18.248

1.969



AB=3

AC=20

1.976



The difference between these small changes is what came out to be my answer. The answer is (about) 2.0 overall.

1 comment:

  1. What would happen if you changed one side and kept the angles the same? How would the hypotenuse change? What original questions do you have about right triangles?

    ReplyDelete