Three Three Centre

Geometry Level 3

Given a triangle A B C ABC . Let G G , I I , H H be the centroid, the incenter and the orthocenter of triangle A B C ABC , respectively. Then which of the option is always true.

G I H < 90 \angle GIH < 90 G H I < 30 \angle GHI < 30 G H I > 30 \angle GHI > 30 G I H > 90 \angle GIH > 90

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