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Mathematics
Mathematics
Problem
If
A
D
AD
A
D
is median of
△
A
B
C
\triangle ABC
△
A
B
C
and
P
P
P
is a point on
A
C
AC
A
C
such that
a
r
(
△
A
D
P
)
:
a
r
(
△
A
B
D
)
=
4
:
5
ar(\triangle ADP) : ar(\triangle ABD) = 4 : 5
a
r
(
△
A
D
P
)
:
a
r
(
△
A
B
D
)
=
4
:
5
, then
a
r
(
△
P
D
C
)
:
a
r
(
△
A
B
C
)
ar(\triangle PDC) : ar(\triangle ABC)
a
r
(
△
P
D
C
)
:
a
r
(
△
A
B
C
)
is (A) 1 : 10 (B) 10 : 1 (C) 1 : 3 (D) 3 : 1
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