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7
2007 Geometry #7: Convex Quadrilateral
2007 Geometry #7: Convex Quadrilateral
Source:
June 22, 2012
geometry
trigonometry
trig identities
Law of Cosines
Problem Statement
Convex quadrilateral
A
B
C
D
ABCD
A
BC
D
has sides
A
B
=
B
C
=
7
AB=BC=7
A
B
=
BC
=
7
,
C
D
=
5
CD=5
C
D
=
5
, and
A
D
=
3
AD=3
A
D
=
3
. Given additionally that
m
∠
A
B
C
=
6
0
∘
m\angle ABC=60^\circ
m
∠
A
BC
=
6
0
∘
, find
B
D
BD
B
D
.
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