Question 148
Points $M$ and $N$ are the midpoints of the sides $BC$ and $AD$, respectively, of a convex quadrilateral $ABCD$. Is it possible that
$$
AB + CD \gt \max(AM + DM, BN + CN)?
$$
$$
AB + CD \gt \max(AM + DM, BN + CN)?
$$
MathNet 2019-part-01 — 184 problems (EN–VI) Question 148
Math Olympiad Vault · MathNet 2019-part-01 — 184 problems (EN–VI)