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In-the-triangle-following-identity-is-true-6R-2-a-2-c-2-a-c-Ptove-that-Euler-s-line-is-antiparallel-to-AC-




Question Number 180272 by Shrinava last updated on 09/Nov/22
In the triangle following identity  is true:   6R^2  = a^2  + c^2    ,   a ≠ c.  Ptove that Euler′s line is antiparallel to  AC.
$$\mathrm{In}\:\mathrm{the}\:\mathrm{triangle}\:\mathrm{following}\:\mathrm{identity} \\ $$$$\mathrm{is}\:\mathrm{true}:\:\:\:\mathrm{6R}^{\mathrm{2}} \:=\:\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{c}^{\mathrm{2}} \:\:\:,\:\:\:\mathrm{a}\:\neq\:\mathrm{c}. \\ $$$$\mathrm{Ptove}\:\mathrm{that}\:\mathrm{Euler}'\mathrm{s}\:\mathrm{line}\:\mathrm{is}\:\mathrm{antiparallel}\:\mathrm{to}\:\:\mathrm{AC}. \\ $$

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