Benchmark 3:
1.) Benchmark 1: Calculations and Table
Triangle # Leg (a) Leg (b) Hypotenuse (c)
1 3.0 3 4.2
2 4.0 3 5.0
3 5.0 3 6.0
4 6.0 3 6.7
5 6.7 3 7.3
6 7.3 3 7.8
7 7.8 3 8.3
8 8.3 3 8.8
9 8.8 3 9.2
10 9.2 3 9.6
11 9.6 3 10.0
12 10.0 3 10.4
13 10.4 3 10.8
14 10.8 3 11.2
15 11.2 3 11.5
16 11.5 3 11.8
17 11.8 3 12.1
1.) Benchmark 1: Calculations and Table
Triangle # Leg (a) Leg (b) Hypotenuse (c)
1 3.0 3 4.2
2 4.0 3 5.0
3 5.0 3 6.0
4 6.0 3 6.7
5 6.7 3 7.3
6 7.3 3 7.8
7 7.8 3 8.3
8 8.3 3 8.8
9 8.8 3 9.2
10 9.2 3 9.6
11 9.6 3 10.0
12 10.0 3 10.4
13 10.4 3 10.8
14 10.8 3 11.2
15 11.2 3 11.5
16 11.5 3 11.8
17 11.8 3 12.1
2.) Benchmark 2: Snail Spiral Final Product
3.) Reflection:
The Pythagorean Theorem (A^2+B^2=C^2) this consists of the same right triangles. When you put the square together the C side of the square will then become the sides of the square. Therefore the Pythagorean Theorem (A^2+B^2=C^2) is true.The creation of the spiral didn't take a long process, having to find the hypotenuses length was a long process. While using the Pythagorean Theorem and coming to completion of my table I began to visualize a pattern. The leg A is always 3 cm long, the B leg will be equal to the hypotenuse of the previous triangle drawn. What had really made me upset was when My spiral didn't have exact dimensions so then I had to go through the process over again within 10 min or so in which I was able to come to completion. My main focus that I had incorporated into this overall activity was looking for any patterns that were in vision.