Difference between revisions of "Special Right Triangles"

(Created page with "==45-45-90 Special Right Triangles== This concept can be used with any right triangle that has two <math>45^\circ</math> angles. A 45-45-90 Triangle is always isoscele...")
 
(45-45-90 Special Right Triangles)
Line 6: Line 6:
  
 
If that is the case, then the [[hypotenuse]] will always be <math>x\sqrt 2</math>.
 
If that is the case, then the [[hypotenuse]] will always be <math>x\sqrt 2</math>.
 +
 +
==30-60-90 Special Right Triangles==
 +
 +
This concept can be used for any right triangle that has a <math>30^\circ</math> angle and a <math>60^\circ</math> angle.
 +
 +
Let's call the side opposite of the <math>30^\circ</math> angle <math>x</math>.
 +
 +
Then, the side opposite of the <math>60^\circ</math> angle would have a length of <math>x\sqrt 3</math>.
 +
 +
Finally, the hypotenuse of a 30-60-90 Triangle would have a length of <math>2x</math>.

Revision as of 02:00, 5 November 2016

45-45-90 Special Right Triangles

This concept can be used with any right triangle that has two $45^\circ$ angles.

A 45-45-90 Triangle is always isosceles, so let's call both legs of the triangle $x$.

If that is the case, then the hypotenuse will always be $x\sqrt 2$.

30-60-90 Special Right Triangles

This concept can be used for any right triangle that has a $30^\circ$ angle and a $60^\circ$ angle.

Let's call the side opposite of the $30^\circ$ angle $x$.

Then, the side opposite of the $60^\circ$ angle would have a length of $x\sqrt 3$.

Finally, the hypotenuse of a 30-60-90 Triangle would have a length of $2x$.