Euler's inequality
Euler's Inequality
Euler's Inequality states that
Proof
Let the circumradius be and inradius
. Let
be the distance between the circumcenter and the incenter. Then
. From this formula, Euler's Inequality follows
Euler's Inequality states that
Let the circumradius be and inradius
. Let
be the distance between the circumcenter and the incenter. Then
. From this formula, Euler's Inequality follows
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