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a-b-c-gt-tomonlari-p-a-p-b-p-c-p-a-p-b-p-c-3-S-




Question Number 125258 by Mathgreat last updated on 09/Dec/20
a,b,c  =>  ▲ tomonlari  (p−a)(p−b)+(p−c)(p−a)+(p−b)(p−c)≥(√3) S
$${a},{b},{c}\:\:=>\:\:\blacktriangle\:\boldsymbol{{tomonlari}} \\ $$$$\left(\boldsymbol{{p}}−\boldsymbol{{a}}\right)\left(\boldsymbol{{p}}−\boldsymbol{{b}}\right)+\left(\boldsymbol{{p}}−\boldsymbol{{c}}\right)\left(\boldsymbol{{p}}−\boldsymbol{{a}}\right)+\left(\boldsymbol{{p}}−\boldsymbol{{b}}\right)\left(\boldsymbol{{p}}−\boldsymbol{{c}}\right)\geqslant\sqrt{\mathrm{3}}\:\boldsymbol{{S}} \\ $$
Commented by Mathgreat last updated on 09/Dec/20
 S => uchburchak  yuzi
$$\:\boldsymbol{{S}}\:=>\:\boldsymbol{{uchburchak}}\:\:\boldsymbol{{yuzi}} \\ $$

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