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2017 ASDAN Math Tournament
17
2017 Guts #17
2017 Guts #17
Source:
November 25, 2022
2017
Guts Round
Problem Statement
For
△
A
B
C
\triangle ABC
△
A
BC
,
A
B
=
B
C
=
5
AB=BC=5
A
B
=
BC
=
5
, and
A
C
=
6
AC=6
A
C
=
6
. Circle
O
O
O
is inscribed in
△
A
B
C
\triangle ABC
△
A
BC
, and circle
P
P
P
is tangent to circle
O
O
O
,
A
B
AB
A
B
, and
A
C
AC
A
C
. Compute the area of
△
A
B
C
\triangle ABC
△
A
BC
not covered by circles
O
O
O
and
P
P
P
.
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