Difference between revisions of "Euler's inequality"
Flamefoxx99 (talk | contribs) (Created page with "==Euler's Inequality== Euler's Inequality states that <cmath>R \gt 2r</cmath> ==Proof== Let the circumradius be <math>R</math> and inradius <math>r</math>. Let <math>d</math> be...") |
(No difference)
|
Revision as of 11:13, 4 June 2013
Euler's Inequality
Euler's Inequality states that
\[R \gt 2r\] (Error compiling LaTeX. Unknown error_msg)
Proof
Let the circumradius be 
and inradius 
. Let 
be the distance between the circumcenter and the incenter. Then ![\[d=\sqrt{R(R-2r)}\]](http://latex.artofproblemsolving.com/3/5/0/35000a85b7898dabbc4a2f8ccbb8e845d8aff7b5.png)
. From this formula, Euler's Inequality follows
