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2021 CMIMC
2.6 1.2
2021 Geo Div 1 P2 (Div 2 P6)
2021 Geo Div 1 P2 (Div 2 P6)
Source:
March 2, 2021
geometry
Problem Statement
In convex quadrilateral
A
B
C
D
ABCD
A
BC
D
,
∠
A
D
C
=
9
0
∘
+
∠
B
A
C
\angle ADC = 90^\circ + \angle BAC
∠
A
D
C
=
9
0
∘
+
∠
B
A
C
. Given that
A
B
=
B
C
=
17
AB = BC = 17
A
B
=
BC
=
17
, and
C
D
=
16
CD = 16
C
D
=
16
, what is the maximum possible area of the quadrilateral?Proposed by Thomas Lam
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