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Mathematics
Mathematics
Problem
For the triangle with vertices
A
(
1
,
2
)
A(1,2)
A
(
1
,
2
)
,
B
(
4
,
6
)
B(4,6)
B
(
4
,
6
)
and
C
(
−
2
,
5
)
C(-2,5)
C
(
−
2
,
5
)
, a point
P
(
3
,
9
)
P(3,9)
P
(
3
,
9
)
is taken. Find the ratio of the areas of triangles
△
A
B
P
\triangle ABP
△
A
B
P
and
△
A
B
C
\triangle ABC
△
A
B
C
.
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