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4
2017 General #4
2017 General #4
Source:
May 8, 2018
geometry
Problem Statement
Triangle
A
B
C
ABC
A
BC
has
A
B
=
10
AB=10
A
B
=
10
,
B
C
=
17
BC=17
BC
=
17
, and
C
A
=
21
CA=21
C
A
=
21
. Point
P
P
P
lies on the circle with diameter
A
B
AB
A
B
. What is the greatest possible area of
A
P
C
APC
A
PC
?
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