In-ABC-O-circumcentr-G-centroid-Prove-that-OG-BC-b-2-c-2-2-4a-2-9R-2-a-2-b-2-c-2-

Question Number 171985 by Shrinava last updated on 22/Jun/22

In △ ABC, O - circumcentr, G - centroid .

Prove that :

OG ∥ BC \Leftrightarrow {(b^{2} - c^{2})}^{2} = {4 a}^{2} ({9 R}^{2} - a^{2} - b^{2} - c^{2})