MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Stanford Mathematics Tournament
2018 Stanford Mathematics Tournament
6
SMT 2018 Geometry #6
SMT 2018 Geometry #6
Source:
August 8, 2023
geometry
Problem Statement
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
.
Back to Problems
View on AoPS