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2
2023 Geometry #2
2023 Geometry #2
Source:
April 12, 2023
Problem Statement
Points
X
X
X
,
Y
Y
Y
, and
Z
Z
Z
lie on a circle with center
O
O
O
such that
X
Y
=
12
XY=12
X
Y
=
12
. Points
A
A
A
and
B
B
B
lie on segment
X
Y
XY
X
Y
such that
O
A
=
A
Z
=
Z
B
=
B
O
=
5
OA=AZ=ZB=BO=5
O
A
=
A
Z
=
ZB
=
BO
=
5
. Compute
A
B
AB
A
B
.
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