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2023 AIME
5
right tringel
right tringel
Source: 2023 AIME I Problem 5
February 8, 2023
2023 aime
P5
geometry
Problem Statement
Let
P
P
P
be a point on the circumcircle of square
A
B
C
D
ABCD
A
BC
D
such that
P
A
⋅
P
C
=
56
PA \cdot PC = 56
P
A
⋅
PC
=
56
and
P
B
⋅
P
D
=
90.
PB \cdot PD = 90.
PB
⋅
P
D
=
90.
What is the area of square
A
B
C
D
?
ABCD?
A
BC
D
?
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