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A4
2011 PUMaC Geometry A4
2011 PUMaC Geometry A4
Source:
September 24, 2019
geometry
Problem Statement
Let
A
B
C
ABC
A
BC
be a triangle with
A
B
=
15
,
B
C
=
17
AB = 15, BC = 17
A
B
=
15
,
BC
=
17
,
C
A
=
21
CA = 21
C
A
=
21
, and incenter
I
I
I
. If the circumcircle of triangle
I
B
C
IBC
I
BC
intersects side
A
C
AC
A
C
again at
P
P
P
, find
C
P
CP
CP
.
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