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Mathematics
Mathematics
Problem
Triangle
A
B
C
ABC
A
B
C
has vertices
A
(
2
,
1
)
A(2,1)
A
(
2
,
1
)
,
B
(
8
,
3
)
B(8,3)
B
(
8
,
3
)
and
C
(
6
,
−
1
)
C(6,-1)
C
(
6
,
−
1
)
. Let
D
D
D
,
E
E
E
and
F
F
F
be the mid-points of
B
C
BC
B
C
,
C
A
CA
C
A
and
A
B
AB
A
B
respectively. Express the area of
△
D
E
F
\triangle DEF
△
D
E
F
as a fraction of the area of
△
A
B
C
\triangle ABC
△
A
B
C
.
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