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LMT
2011 LMT
17
17
Part of
2011 LMT
Problems
(1)
2011 Spring LMT Individual Round Problem 17
Source:
9/11/2023
Let
A
B
C
ABC
A
BC
be a triangle with
A
B
=
15
AB = 15
A
B
=
15
,
A
C
=
20
AC = 20
A
C
=
20
, and right angle at
A
A
A
. Let
D
D
D
be the point on
B
C
‾
\overline{BC}
BC
such that
A
D
‾
\overline{AD}
A
D
is perpendicular to
B
C
‾
\overline{BC}
BC
, and let
E
E
E
be the midpoint of
A
C
‾
\overline{AC}
A
C
. If
F
F
F
is the point on
B
C
‾
\overline{BC}
BC
such that
A
D
‾
∥
E
F
‾
\overline{AD} \parallel \overline{EF}
A
D
∥
EF
, what is the area of quadrilateral
A
D
F
E
ADFE
A
D
FE
?
geometry