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3
Puerto Rico 2012 TST Problem 3
Puerto Rico 2012 TST Problem 3
Source:
April 26, 2012
geometry proposed
geometry
Problem Statement
A
B
C
ABC
A
BC
is a triangle that is inscribed in a circle. The angle bisectors of
A
,
B
,
C
A, B, C
A
,
B
,
C
meet the circle at
D
,
E
,
F
D, E, F
D
,
E
,
F
, respectively. Show that
A
D
AD
A
D
is perpendicular to
E
F
EF
EF
.
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