Special Right Triangles
45-45-90 Special Right Triangles
This concept can be used with any right triangle that has two angles.
A 45-45-90 Triangle is always isosceles, so let's call both legs of the triangle .
If that is the case, then the hypotenuse will always be .
30-60-90 Special Right Triangles
30-60-90 Triangles are special triangles where there is a certain ratio for the sides of the right triangle, as explained below.
This concept can be used for any right triangle that has a angle and a angle.
Let's call the side opposite of the angle .
Then, the side opposite of the angle would have a length of .
Finally, the hypotenuse of a 30-60-90 Triangle would have a length of .
There is also the ratio of . With 2 as the hypotenuse and 1 opposite of the 30 degrees. That leaves as the only length left.