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Mathematics
Mathematics
Problem
Let
A
(
2
,
1
)
A(2,1)
A
(
2
,
1
)
,
B
(
8
,
5
)
B(8,5)
B
(
8
,
5
)
and
C
(
14
,
1
)
C(14,1)
C
(
14
,
1
)
be the vertices of
△
A
B
C
\triangle ABC
△
A
B
C
. Point
D
D
D
divides
B
C
BC
B
C
internally in the ratio
1
:
3
1:3
1
:
3
(
B
D
:
D
C
=
1
:
3
BD:DC=1:3
B
D
:
D
C
=
1
:
3
). What is
ar
(
△
A
B
D
)
:
ar
(
△
A
D
C
)
\operatorname{ar}(\triangle ABD):\operatorname{ar}(\triangle ADC)
ar
(
△
A
B
D
)
:
ar
(
△
A
D
C
)
? a)
3
:
1
3:1
3
:
1
b)
1
:
3
1:3
1
:
3
c)
1
:
9
1:9
1
:
9
d)
1
:
4
1:4
1
:
4
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