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Putnam
1984 Putnam
A4
A4
Part of
1984 Putnam
Problems
(1)
maximum area of pentagon with AC||BD
Source: Putnam 1984 A4
9/1/2021
A convex pentagon
P
=
A
B
C
D
E
P=ABCDE
P
=
A
BC
D
E
is inscribed in a circle of radius
1
1
1
. Find the maximum area of
P
P
P
subject to the condition that the chords
A
C
AC
A
C
and
B
D
BD
B
D
are perpendicular.
geometry
area