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Euler's inequality

Revision as of 10:13, 4 June 2013 by 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...")
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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 $R$ and inradius $r$. Let $d$ be the distance between the circumcenter and the incenter. Then \[d=\sqrt{R(R-2r)}\]. From this formula, Euler's Inequality follows

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