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Mathematics
Mathematics
Problem
Let
A
(
2
,
3
)
A(2,3)
A
(
2
,
3
)
,
B
(
k
,
7
)
B(k,7)
B
(
k
,
7
)
,
C
(
8
,
3
)
C(8,3)
C
(
8
,
3
)
and
D
(
8
,
11
)
D(8,11)
D
(
8
,
11
)
be four points in the plane, where
k
>
4
k>4
k
>
4
. If
ar
(
△
A
B
C
)
=
ar
(
△
A
B
D
)
\operatorname{ar}(\triangle ABC)=\operatorname{ar}(\triangle ABD)
ar
(
△
A
B
C
)
=
ar
(
△
A
B
D
)
, then the value of
k
k
k
is a)
10
10
10
b)
8
8
8
c)
11
11
11
d)
6
6
6
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