Special Right Triangles Worksheet: 1-8
In your notes, you should have diagrams of the 45-45-90 and 30-60-90 triangles, where the smallest side is length 1.
When you encounter a new triangle with the same angles, but different side lengths, you can create a proportion to solve for missing side lengths. The key is to be consistent.
Examples of Options:
Note: one of these ratios should have no variables!
If your proportion is x/3=y/6, then you can’t actually solve it!
Also, if you remember how to rationalize denominators, great, but I am not going to grade you on not doing that.
You should know though, √a •√a = a.
For example, 3•√2•√2 =3•(√2•√2) = 3•(2) = 6. Here, √2•√2 was simplified into just 2, and then we could evaluate 3•2, which is 6.