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2018 Stanford Mathematics Tournament
6
6
Part of
2018 Stanford Mathematics Tournament
Problems
(1)
SMT 2018 Geometry #6
Source:
8/8/2023
In
△
A
B
\vartriangle AB
△
A
B
C,
A
B
=
3
AB = 3
A
B
=
3
,
A
C
=
6
,
AC = 6,
A
C
=
6
,
and
D
D
D
is drawn on
B
C
BC
BC
such that
A
D
AD
A
D
is the angle bisector of
∠
B
A
C
\angle BAC
∠
B
A
C
.
D
D
D
is reflected across
A
B
AB
A
B
to a point
E
E
E
, and suppose that
A
C
AC
A
C
and
B
E
BE
BE
are parallel. Compute
C
E
CE
CE
.
geometry