Prove-that-in-any-ABC-m-a-m-b-m-c-2-9-3-F-

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

$$\mathrm{Area} \\ $$

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