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10
2007 Geometry #10: Incircle of Quadrilateral
2007 Geometry #10: Incircle of Quadrilateral
Source:
June 22, 2012
geometry
Problem Statement
A
B
C
D
ABCD
A
BC
D
is a convex quadrilateral such that
A
B
=
2
AB=2
A
B
=
2
,
B
C
=
3
BC=3
BC
=
3
,
C
D
=
7
CD=7
C
D
=
7
, and
A
D
=
6
AD=6
A
D
=
6
. It also has an incircle. Given that
∠
A
B
C
\angle ABC
∠
A
BC
is right, determine the radius of this incircle.
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