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3
2016 Team #3
2016 Team #3
Source:
December 30, 2016
Problem Statement
Let
A
B
C
ABC
A
BC
be an acute triangle with incenter
I
I
I
and circumcenter
O
O
O
. Assume that
∠
O
I
A
=
9
0
∘
\angle OIA = 90^{\circ}
∠
O
I
A
=
9
0
∘
. Given that
A
I
=
97
AI = 97
A
I
=
97
and
B
C
=
144
BC = 144
BC
=
144
, compute the area of
△
A
B
C
\triangle ABC
△
A
BC
.
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