Mathematical and Physical Journal
for High Schools
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Problem A. 443. (January 2008)

A. 443. The perimeter of a certain convex hexagon is p. The midpoints of the sides form an inscribed hexagon such that all its angles are 120o and its perimeter is p1. Prove that

p_1\le\frac{\sqrt3}2p.

Vietnamese problem

(5 pont)

Deadline expired on February 15, 2008.


Statistics:

9 students sent a solution.
5 points:Blázsik Zoltán, Huszár Kristóf, Korándi Dániel, Lovász László Miklós, Nagy 235 János, Nagy 314 Dániel, Tomon István, Tossenberger Anna, Wolosz János.

Problems in Mathematics of KöMaL, January 2008