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Triangle-ABC-have-sin2A-sin2B-sin2C-3-cosA-cosB-cosC-gt-Prove-that-ABC-is-equilateral-triangle-




Question Number 189012 by TUN last updated on 10/Mar/23
Triangle ABC have:   sin2A+sin2B+sin2C=(√3)(cosA+cosB+cosC)  => Prove that ABC is equilateral triangle
$${Triangle}\:{ABC}\:{have}:\: \\ $$$${sin}\mathrm{2}{A}+{sin}\mathrm{2}{B}+{sin}\mathrm{2}{C}=\sqrt{\mathrm{3}}\left({cosA}+{cosB}+{cosC}\right) \\ $$$$=>\:{Prove}\:{that}\:{ABC}\:{is}\:{equilateral}\:{triangle} \\ $$

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