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2024 AIME
10
2019 CIME I/14 moment
2019 CIME I/14 moment
Source: 2024 AIME II #10
February 8, 2024
AMC
AIME
AIME II
Problem Statement
Let
△
A
B
C
\triangle ABC
△
A
BC
have circumcenter
O
O
O
and incenter
I
I
I
with
I
A
‾
⊥
O
I
‾
\overline{IA}\perp\overline{OI}
I
A
⊥
O
I
, circumradius
13
13
13
, and inradius
6
6
6
. Find
A
B
⋅
A
C
AB\cdot AC
A
B
⋅
A
C
.
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