If $G$ is the centroid of $\triangle ABC$ such that the vectors $\overrightarrow{GB}$ and $\overrightarrow{GC}$ are inclined at an obtuse angle, then which of the following conditions is true?

Question

$5a^2 > b^2 + c^2$

$5c^2 > a^2 + b^2$

$5b^2 > a^2 + c^2$

None of these

Solution

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