MathDB

(199) 2

Part of 1988 Tournament Of Towns

Problems(1)

TOT 199 1988 Autumn S2 a^2pq+b^2qr+c^2rp <= 0 for sidelengths, p+q+r=0

Source:

3/7/2021
Prove that a2pq+b2qr+c2rp≤0a^2pq + b^2qr + c^2rp \le 0, whenever a,ba, b and cc are the lengths of the sides of a triangle and p+q+r=0p + q + r = 0 .
( J. Mustafaev , year 12 student, Baku)
geometric inequalityinequalities