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IMO Shortlist
1985 IMO Shortlist
20
Prove that EB+CD = ED
Prove that EB+CD = ED
Source:
August 28, 2010
geometry
cyclic quadrilateral
IMO Shortlist
IMO 1985
circle
Problem Statement
A circle whose center is on the side
E
D
ED
E
D
of the cyclic quadrilateral
B
C
D
E
BCDE
BC
D
E
touches the other three sides. Prove that
E
B
+
C
D
=
E
D
.
EB+CD = ED.
EB
+
C
D
=
E
D
.
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