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Mathematics
Mathematics
Problem
Let
A
B
C
D
ABCD
A
B
C
D
be a quadrilateral with area 18, with side
A
B
AB
A
B
parallel to the side
C
D
CD
C
D
and
A
B
=
2
C
D
AB = 2CD
A
B
=
2
C
D
. Let
A
D
AD
A
D
be perpendicular to
A
B
AB
A
B
and
C
D
CD
C
D
. If a circle is drawn inside the quadrilateral
A
B
C
D
ABCD
A
B
C
D
touching all the sides, then its radius is
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