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Tournament Of Towns
1995 Tournament Of Towns
(465) 3
(465) 3
Part of
1995 Tournament Of Towns
Problems
(1)
TOT 465 1995 Autumn J O3 folding paper rectangle
Source:
7/9/2024
A paper rectangle
A
B
C
D
ABCD
A
BC
D
of area
1
1
1
is folded along a straight line so that
C
C
C
coincides with
A
A
A
. Prove that the area of the pentagon thus obtained is less than
3
/
4
3/4
3/4
.
geometry
folding
geometric inequality
rectangle