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In-ABC-A-B-C-the-following-relationship-holds-R-2-R-F-8F-r-3-




Question Number 150453 by mathdanisur last updated on 12/Aug/21
In  △ABC , △A^′ B^′ C^′   the following  relationship holds:  R^2 R^′ F^′  ≥ 8F(r^′ )^3
$$\mathrm{In}\:\:\bigtriangleup\mathrm{ABC}\:,\:\bigtriangleup\mathrm{A}^{'} \mathrm{B}^{'} \mathrm{C}^{'} \:\:\mathrm{the}\:\mathrm{following} \\ $$$$\mathrm{relationship}\:\mathrm{holds}: \\ $$$$\mathrm{R}^{\mathrm{2}} \mathrm{R}^{'} \mathrm{F}^{'} \:\geqslant\:\mathrm{8F}\left(\mathrm{r}^{'} \right)^{\mathrm{3}} \\ $$

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