In the right triangles that I have been working with, there seems to not be a constant equation that you can use in every right triangle. Each triangle has a different equation used, that is able to work everytime. For example, in my previous blog enty I had discovered an equation to get the Short Leg and the Hypotenuse Leg by using the Longer Leg, in a 10-80-90 triangle. Short Leg= Longer Leg x .1763 and Hypotenuse Leg= Longer Leg x 1.0154. Knowing that you are able to figure out the other two legs just by having one side length and angle measurements of 10-80-90 triangle is extremely cool! This pattern could be like the 30-60-90 triangle pattern... The next question in my investigation would have been: If I did tables of many right triangles, would there be any similar pattern to the one I have already discovered? The table and picture of a 10-80-90 Triangle is posted below.
| Longer Leg | 1 | 2 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Short Leg | 0.1763 | 0.3526 | 0.5289 | 0.7053 | 0.8816 | 1.0579 | 1.2342 | 1.4106 | 1.5869 |
| Hypotenuse Leg | 1.0154 | 2.0308 | 3.0462 | 4.0617 | 5.0771 | 6.0925 | 7.1079 | 8.1234 | 9.1388 |
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