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8
2013 SMT Geometry #8
2013 SMT Geometry #8
Source:
November 2, 2014
geometry
Problem Statement
Let equilateral triangle
A
B
C
ABC
A
BC
with side length
6
6
6
be inscribed in a circle and let
P
P
P
be on arc
A
C
AC
A
C
such that
A
P
ā
P
C
=
10
AP \cdot P C = 10
A
P
ā
PC
=
10
. Find the length of
B
P
BP
BP
.
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