MathDB

5

Part of 1986 Federal Competition For Advanced Students, P2

Problems(1)

inequality

Source: Austria 1986

7/7/2009
Show that for every convex n n-gon (n≥4) ( n \ge 4), the arithmetic mean of the lengths of its sides is less than the arithmetic mean of the lengths of all its diagonals.
inequalitiesgeometry unsolvedgeometry