1: In the diagram we were given, each square grows by one row on every side as the squares progress. By adding all the squares in the A square and B square, you get the same amount of squares that are in the C square, hence, A^2+B^2=C^2. For example, with a right triangle having the sides of A=2 B=10 and C=?, one can use A and B, or the legs of the triangle, to find C. By plugging A and B into the formula A^2+B^2=C^2, or the Pythagorean Theorem, you will find C. So, 2^2+10^2=C^2, 4+100=C^2, 104=C^2, C= 2√26.

3: For this project, I made a spiral using only right triangles. By starting with a three by three right triangle, then making another triangle of the base of the original and so on, I was able to create a spiral. One pattern I noticed was how each triangle grew proportionately bigger to the last so it would form the correct shape. I also noticed how the hypotenuse of one problem was always leg A on the following problem. Making the table of my information went well because once I figured out how to do the formula correctly, I was able to complete it quickly. Creating a spiral drawing was challenging because on my first attempt, I started on an incorrect portion of the page, making my spiral eventually go off the page, but, once I corrected myself, I was able to get back on track. I practiced using "Starting Small" because it was difficult to make my spiral at first because I would always be trying to figure out where the next triangle would be, so, by starting small and working my way up, I was able to stay better in control of what I was doing.

3: For this project, I made a spiral using only right triangles. By starting with a three by three right triangle, then making another triangle of the base of the original and so on, I was able to create a spiral. One pattern I noticed was how each triangle grew proportionately bigger to the last so it would form the correct shape. I also noticed how the hypotenuse of one problem was always leg A on the following problem. Making the table of my information went well because once I figured out how to do the formula correctly, I was able to complete it quickly. Creating a spiral drawing was challenging because on my first attempt, I started on an incorrect portion of the page, making my spiral eventually go off the page, but, once I corrected myself, I was able to get back on track. I practiced using "Starting Small" because it was difficult to make my spiral at first because I would always be trying to figure out where the next triangle would be, so, by starting small and working my way up, I was able to stay better in control of what I was doing.