IMO Shortlist 1988 problem 27
Dodao/la: arhiva2. travnja 2012.
be an acute-angled triangle. Let
be any line in the plane of the triangle
. Denote by
the lengths of the perpendiculars to
respectively. Prove the inequality
is the area of the triangle
. Determine the lines
for which equality holds.
Izvor: Međunarodna matematička olimpijada, shortlist 1988