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Poland - Second Round
1961 Poland - Second Round
6
6
Part of
1961 Poland - Second Round
Problems
(1)
tape with covers max area of a triangle
Source: Polish MO Second Round 1961 p6
8/31/2024
A tape with width
d
<
A
B
d < AB
d
<
A
B
and edges perpendicular to
A
B
AB
A
B
moves in the plane of the acute-angled triangle
A
B
C
ABC
A
BC
. At what position of the tape will it cover the largest part of the triangle?
geometry
geometric inequality