Bog Entry #4

Blog Entry #4: Now I’m trying to see if I can find any other patterns with other right triangle combinations. The following triangle has angle measures of 90-70-20, the one after is going to have angle measures of 90-28-62.

Side AC
Side BC Side AB 1 .364 1.064 70
2 .728 2.128 70
3 1.092 3.193 70
4 1.455 4.256 70
5 1.819 5.320 70
6 2.183 6.385 70
7 2.547 7.449 70
8 2.912 8.513 70
9 3.275 9.577 70
10 3.639 10.641 70

This table shows the change in the sides of a triangle with 90-62-28. I made this triangle to have sides with out angle measures that were multiples of ten and five. The next triangle will have odd angle measures.
Side AC
Side BC Side AB 1 .532 1.133 62
2 1.063 2.265 62
3 1.595 3.397 62
4 2.126 4.530 62
5 2.658 5.662 62
6 3.190 6.795 62
7 3.721 7.927 62
8 4.253 9.060 62
9 4.785 10.193 62
10 5.317 11.325 62

Side AC
Side BC Side AB 1 .649 1.192 57
2 1.298 2.384 57
3 1.948 3.577 57
4 2.597 4.769 57
5 3.247 5.961 57
6 3.896 7.154 57
7 4.545 8.346 57
8 5.195 9.538 57
9 5.844 10.731 57
10 6.494 11.923 57
After looking at both triangles and there lengths I have come to the conclusion that all triangles have an equation to find there hypotenuse and length of the short leg. The equation for the first triangle is .532n=length of the short leg and the equation to find the length of the hypotenuse is 1.133m=hypotenuse.

The second triangle’s equation is .649n=length of short side the other one is 1.192m=hypotenuse. This shows me that there can be any angle combinations. The combinations may have decimal points, but they still can be useful to find the sides of triangles.

I have no idea on what my next question should be can you help???