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International Contests
Mediterranean Mathematics Olympiad
2007 Mediterranean Mathematics Olympiad
2
2
Part of
2007 Mediterranean Mathematics Olympiad
Problems
(1)
Determine the length of CD
Source: Mediterranean MO 2007
10/31/2010
The diagonals
A
C
AC
A
C
and
B
D
BD
B
D
of a convex cyclic quadrilateral
A
B
C
D
ABCD
A
BC
D
intersect at point
E
E
E
. Given that
A
B
=
39
,
A
E
=
45
,
A
D
=
60
AB = 39, AE = 45, AD = 60
A
B
=
39
,
A
E
=
45
,
A
D
=
60
and
B
C
=
56
BC = 56
BC
=
56
, determine the length of
C
D
.
CD.
C
D
.
quadratics
geometry
cyclic quadrilateral
geometry unsolved