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1990 IMO Longlists
91
Prove that OM = OK - ILL 1990 TUR2
Prove that OM = OK - ILL 1990 TUR2
Source:
September 19, 2010
geometry unsolved
geometry
Problem Statement
Quadrilateral
A
B
C
D
ABCD
A
BC
D
has an inscribed circle with center
O
O
O
. Knowing that
A
B
=
C
D
AB = CD
A
B
=
C
D
, and
M
,
K
M, K
M
,
K
are the midpoints of
B
C
,
A
D
BC, AD
BC
,
A
D
respectively. Prove that
O
M
=
O
K
.
OM = OK.
OM
=
O
K
.
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