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2
2013 HMMT Geometry # 2
2013 HMMT Geometry # 2
Source:
March 3, 2024
geometry
Problem Statement
Let
A
B
C
D
ABCD
A
BC
D
be an isosceles trapezoid such that
A
D
=
B
C
AD = BC
A
D
=
BC
,
A
B
=
3
AB = 3
A
B
=
3
, and
C
D
=
8
CD = 8
C
D
=
8
. Let
E
E
E
be a point in the plane such that
B
C
=
E
C
BC = EC
BC
=
EC
and
A
E
⊥
E
C
AE \perp EC
A
E
⊥
EC
. Compute
A
E
AE
A
E
.
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