Given a triangle
. Let
,
,
be the centroid, the incenter and the orthocenter of triangle
, respectively. Prove that
.
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Given a triangle $ABC$. Let $G$, $I$, $H$ be the centroid, the incenter and the orthocenter of triangle $ABC$, respectively. Prove that $\angle GIH > 90^{\circ}$.
Školjka