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Standard IX
Mathematics
Question
Find
B
C
, if
A
B
=
7.2
c
m
.
7.2
6.4
5.2
4.2
A
6.4
B
5.2
C
4.2
D
7.2
Open in App
Solution
Verified by Toppr
In
△
A
C
E
and
△
B
C
D
,
∠
A
C
E
=
∠
B
C
D
(Common angle)
∠
C
B
D
=
∠
C
A
E
(Corresponding angles, since
B
D
|
|
A
E
)
∠
C
D
B
=
∠
C
E
A
(Corresponding angles, since
B
D
|
|
A
E
)
Hence,
△
A
C
E
∼
△
B
C
D
.
Thus,
B
C
A
C
=
C
D
C
E
⟹
B
C
B
C
+
A
B
=
C
D
C
D
+
D
E
(Given,
C
D
=
D
E
)
⟹
B
C
B
C
+
A
B
=
1
2
⟹
2
B
C
=
A
B
+
B
C
⟹
B
C
=
A
B
⟹
B
C
=
7.2
c
m
.
Hence, option
A
is correct.
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Similar Questions
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Find
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.
View Solution
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