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Euler's inequality

Revision as of 10:13, 4 June 2013 by Flamefoxx99 (talk | contribs) (→‎Euler's Inequality)

Euler's Inequality

Euler's Inequality states that \[R \ge 2r\]

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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