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India Contests
Regional Mathematical Olympiad
2014 India Regional Mathematical Olympiad
1
Indian RMO P1
Indian RMO P1
Source:
January 1, 2015
geometry
trapezoid
symmetry
incenter
Problem Statement
let
A
B
C
D
ABCD
A
BC
D
be a isosceles trapezium having an incircle with
A
B
AB
A
B
parallel to
C
D
CD
C
D
. let
C
E
CE
CE
be the perpendicular from
C
C
C
on
A
B
AB
A
B
prove that
C
E
2
=
A
B
.
C
D
CE^2 = AB. CD
C
E
2
=
A
B
.
C
D
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