Euler's inequality

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Euler's Inequality

Euler's Inequality states that

\[R \gt 2r\] (Error compiling LaTeX. ! Undefined control sequence.)

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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