Euler's inequality
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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
