Question Number 204926 by hardmath last updated on 02/Mar/24
$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{in}\:\mathrm{any}\:\bigtriangleup\mathrm{ABC} \\ $$$$\left(\mathrm{m}_{\boldsymbol{\mathrm{a}}} \:+\:\mathrm{m}_{\boldsymbol{\mathrm{b}}} \:+\:\mathrm{m}_{\boldsymbol{\mathrm{c}}} \right)^{\mathrm{2}} \:\geqslant\:\mathrm{9}\sqrt{\mathrm{3}}\:\mathrm{F} \\ $$
Commented by A5T last updated on 02/Mar/24
$${What}'{s}\:{F}\overset{} {?} \\ $$
Commented by hardmath last updated on 22/Mar/24
$$\mathrm{Area} \\ $$