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5
SMT 2022 Geometry #5
SMT 2022 Geometry #5
Source:
April 1, 2023
Problem Statement
In quadrilateral
A
B
C
D
ABCD
A
BC
D
,
A
B
=
20
AB=20
A
B
=
20
,
B
C
=
15
BC=15
BC
=
15
,
C
D
=
7
CD=7
C
D
=
7
,
D
A
=
24
DA=24
D
A
=
24
, and
C
A
=
25
CA=25
C
A
=
25
. Let the midpoint of
A
C
AC
A
C
be
M
M
M
, and let
A
C
AC
A
C
and
B
D
BD
B
D
intersect at
N
N
N
. Find the length of
M
N
MN
MN
.
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