2015 Final tour - Azerbaijan in lower age category
Revision as of 02:23, 27 June 2015 by Azerbaijan2015 (talk | contribs)
1) a, b, and c are positive real numbers that abc=1/8. Prove a^2+b^2+c^2+a^2*b^2+a^2*c^2+b^2*c^2>=15/16 (2 points)
2) a, b and c are sides of triangle. Prove that area of triangle isn't more than (a^2+b^2+c^2)/6.
