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2014 BMT Spring
3
BMT 2014 Spring - Geometry 3
BMT 2014 Spring - Geometry 3
Source:
December 29, 2021
geometry
Problem Statement
Consider an isosceles triangle
A
B
C
ABC
A
BC
(
A
B
=
B
C
AB = BC
A
B
=
BC
). Let
D
D
D
be on
B
C
BC
BC
such that
A
D
⊥
B
C
AD \perp BC
A
D
⊥
BC
and
O
O
O
be a circle with diameter
B
C
BC
BC
. Suppose that segment
A
D
AD
A
D
intersects circle
O
O
O
at
E
E
E
. If
C
A
=
2
CA = 2
C
A
=
2
what is
C
E
CE
CE
?
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