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2023 LMT Spring
7
2023 LMT Spring Accuracy Problem 7
2023 LMT Spring Accuracy Problem 7
Source:
September 29, 2023
geometry
Problem Statement
In
△
A
B
C
\vartriangle ABC
△
A
BC
,
A
B
=
13
AB = 13
A
B
=
13
,
B
C
=
14
BC = 14
BC
=
14
, and
C
A
=
15
CA = 15
C
A
=
15
. Let
D
D
D
be a point on
B
C
BC
BC
such that
B
D
=
6
BD = 6
B
D
=
6
. Let
E
E
E
be a point on
C
A
CA
C
A
such that
C
E
=
6
CE = 6
CE
=
6
. Finally, let
F
F
F
be a point on
A
B
AB
A
B
such that
A
F
=
6
AF = 6
A
F
=
6
. Find the area of
△
D
E
F
\vartriangle DEF
△
D
EF
.
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