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Mathematics
Problem
In parallelogram
A
B
C
D
ABCD
A
B
C
D
, diagonal
A
C
AC
A
C
is drawn. Which of the following statements is always true? a)
ar
(
△
A
B
C
)
=
2
ar
(
△
C
D
A
)
\text{ar}(\triangle ABC)=2\,\text{ar}(\triangle CDA)
ar
(
△
A
B
C
)
=
2
ar
(
△
C
D
A
)
b)
ar
(
△
A
B
C
)
=
ar
(
△
B
C
D
)
\text{ar}(\triangle ABC)=\text{ar}(\triangle BCD)
ar
(
△
A
B
C
)
=
ar
(
△
B
C
D
)
c)
ar
(
△
A
B
C
)
=
ar
(
△
C
D
A
)
\text{ar}(\triangle ABC)=\text{ar}(\triangle CDA)
ar
(
△
A
B
C
)
=
ar
(
△
C
D
A
)
d)
ar
(
△
A
B
C
)
=
ar
(
△
A
B
D
)
\text{ar}(\triangle ABC)=\text{ar}(\triangle ABD)
ar
(
△
A
B
C
)
=
ar
(
△
A
B
D
)
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