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%3D0%5C%5C%5C%5C %5CRightarrow 2a^2+2b^2+2c^2-2ab-2bc-2ca%3D0%5C%5C%5C%5C %5CRightarrow (a^2+b^2-2ab)+(b^2+c^2-2bc)+(c^2+a^2-2ca)%3D0%5C%5C%5C%5C %5CRightarrow (a-b)^2+(b-c)^2+(c-a)^2%3D0%5C%5C%5C%5C Since%5C sum%5C of%5C the%5C squares%5C are%5C zero%5C then%5C%5C%5C%5C %5CRightarrow (a-b)^2%3D0%5CRightarrow a%3Db%5C%5C%5C%5C %5CRightarrow (b-c)^2%3D0%5CRightarrow b%3Dc%5C%5C%5C%5C %5CRightarrow (c-a)^2%3D0%5CRightarrow c%3Da%5C%5C%5C%5C %5Ctherefore a%3Db%3Dc?quality=80&w=800)
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