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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, let
P
P
P
divide
A
C
AC
A
C
internally in the ratio
2
:
1
2:1
2
:
1
and
Q
Q
Q
divide
B
C
BC
B
C
internally in the same ratio
2
:
1
2:1
2
:
1
. Determine the ratio of the area of
△
A
P
Q
\triangle APQ
△
A
P
Q
to the area of
△
A
B
C
\triangle ABC
△
A
B
C
.
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