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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, the vertices are
A
(
0
,
0
)
A(0,0)
A
(
0
,
0
)
,
B
(
6
,
0
)
B(6,0)
B
(
6
,
0
)
and
C
(
6
,
8
)
C(6,8)
C
(
6
,
8
)
. Point
D
D
D
divides
A
C
AC
A
C
internally in the ratio
1
:
3
1:3
1
:
3
. What is the length of
B
D
BD
B
D
? a)
5
units
5\text{ units}
5
units
b)
4
13
3
units
\dfrac{4\sqrt{13}}{3}\text{ units}
3
4
13
units
c)
97
2
units
\dfrac{\sqrt{97}}{2}\text{ units}
2
97
units
d)
153
2
units
\dfrac{\sqrt{153}}{2}\text{ units}
2
153
units
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