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18
2017 Guts #18: Largest possible inscribed circle
2017 Guts #18: Largest possible inscribed circle
Source:
February 21, 2017
geometry
Problem Statement
Let
A
B
C
D
ABCD
A
BC
D
be a quadrilateral with side lengths
A
B
=
2
AB = 2
A
B
=
2
,
B
C
=
3
BC = 3
BC
=
3
,
C
D
=
5
CD = 5
C
D
=
5
, and
D
A
=
4
DA = 4
D
A
=
4
. What is the maximum possible radius of a circle inscribed in quadrilateral
A
B
C
D
ABCD
A
BC
D
?
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