Difference between revisions of "Special Right Triangles"
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Finally, the hypotenuse of a 30-60-90 Triangle would have a length of <math>2x</math>. | Finally, the hypotenuse of a 30-60-90 Triangle would have a length of <math>2x</math>. | ||
| + | |||
| + | There is also the ratio of 1:sqrt(3):2. With 2 as the hypotenuse and 1 opposite of the <math>30^\cic</math>. That leaves sqrt(3) as the only length left. | ||
==See Also== | ==See Also== | ||
[[Pythagorean triple]] | [[Pythagorean triple]] | ||
Revision as of 14:26, 7 July 2021
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 1:sqrt(3):2. With 2 as the hypotenuse and 1 opposite of the $30^\cic$ (Error compiling LaTeX. Unknown error_msg). That leaves sqrt(3) as the only length left.
