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4
SMT 2010 Geometry #4
SMT 2010 Geometry #4
Source:
February 11, 2012
geometry
angle bisector
Problem Statement
Given triangle
A
B
C
ABC
A
BC
.
D
D
D
lies on
B
C
BC
BC
such that
A
D
AD
A
D
bisects
B
A
C
BAC
B
A
C
. Given
A
B
=
3
AB=3
A
B
=
3
,
A
C
=
9
AC=9
A
C
=
9
, and
B
C
=
8
BC=8
BC
=
8
. Find
A
D
AD
A
D
.
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