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Byju's Answer
Standard IX
Mathematics
The Mid-Point Theorem
Question 6 In...
Question
Question 6
In the given figure, AC = AE, AB = AD and
∠
B
A
D
=
∠
E
A
C
.
Show that
BC = DE.
Open in App
Solution
I
t
i
s
g
i
v
e
n
t
h
a
t
∠
B
A
D
=
∠
E
A
C
∠
B
A
D
+
∠
D
A
C
=
∠
E
A
C
+
∠
D
A
C
[
A
d
d
i
n
g
∠
D
A
C
o
n
b
o
t
h
s
i
d
e
s
]
∠
B
A
C
=
∠
D
A
E
,
I
n
Δ
B
A
C
a
n
d
Δ
D
A
E
,
A
B
=
A
D
(
G
i
v
e
n
)
∠
B
A
C
=
∠
D
A
E
(
P
r
o
v
e
d
a
b
o
v
e
)
A
C
=
A
E
(
G
i
v
e
n
)
∴
Δ
B
A
C
≅
Δ
D
A
E
(
B
y
S
A
S
c
o
n
g
r
u
e
n
c
e
r
u
l
e
)
∴
B
C
=
D
E
(
B
y
C
P
C
T
)
Suggest Corrections
17
Similar questions
Q.
In the given figure,
A
C
=
A
E
,
A
B
=
A
D
and
∠
B
A
D
=
∠
E
A
C
. Show that
B
C
=
D
E
Q.
In the adjacent figure,
A
C
=
A
E
,
A
B
=
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D
and
∠
B
A
D
=
∠
E
A
C
. Show that
B
C
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.
Q.
In Fig,
A
C
=
A
E
,
A
B
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A
D
and
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B
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D
=
∠
E
A
C
. Show that
B
C
=
D
E
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Standard IX Mathematics
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