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6
SMT 2019 Geometry #6
SMT 2019 Geometry #6
Source:
August 8, 2023
geometry
Problem Statement
Let the altitude of
△
A
B
C
\vartriangle ABC
△
A
BC
from
A
A
A
intersect the circumcircle of
△
A
B
C
\vartriangle ABC
△
A
BC
at
D
D
D
. Let
E
E
E
be a point on line
A
D
AD
A
D
such that
E
≠
A
E \ne A
E
=
A
and
A
D
=
D
E
AD = DE
A
D
=
D
E
. If
A
B
=
13
AB = 13
A
B
=
13
,
B
C
=
14
BC = 14
BC
=
14
, and
A
C
=
15
AC = 15
A
C
=
15
, what is the area of quadrilateral
B
D
C
E
BDCE
B
D
CE
?
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