Abcd is a trapezium such that bc is parallel to ad and ab = 4 cm
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Given
B
C
parallel to
A
D
,
and
A
D
=
4
Let
B
C
=
m
Let
∠
A
O
D
=
x
,
⇒
∠
C
O
B
=
x
Let
∠
O
A
D
=
y
,
⇒
∠
O
C
B
=
y
Let
C
O
=
2
a
,
⇒
O
A
=
1
a
⇒
Δ
O
A
D
,
and
Δ
O
C
B
are similar,
⇒
O
A
A
D
=
O
C
C
B
⇒
1
a
4
=
2
a
m
⇒
m
=
8
Hence,
B
C
=
m
=
8
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