#1875 · Algebra · Inequalities

Triangle Side Expression Sign Constraint

If $a, b, c$ denote the sides of a triangle, show that $a^{2} y z + b^{2} z x + c^{2} x y$ cannot be positive, if $x + y + z = 0$ .

~20 minProof · checked by AITrianglesQuadratic formsInequalities

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.b, No. 17 (part 2)

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