What is the length of BD?

Answer:
The length is
B
D
=
36
c
m
Explanation:
Let the mid-point of
B
C
be
=
E
Let the mid-point of
C
D
be
=
F
Then,
A
G
=
2
3
A
E
and
A
G
'
=
2
3
A
F
As
G
and
G
'
divide
A
E
and
A
F
in the same ratio
The lines
G
G
'
and
B
D
are parallel
We apply Thales' Theorem
G
G
'
=
2
3
E
F
E
F
=
3
2
⋅
12
=
18
c
m
B
D
=
2
⋅
E
F
=
2
⋅
18
=
36
c
m
Step-by-step explanation: