MK-MO 1998 Problem 4

If $P$ is the area of a triangle $ABC$ with sides $a,b,c$ , prove that $\frac{ab+bc+ca}{4P} \ge \sqrt3$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.