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Byju's Answer
Standard X
Mathematics
Similar Triangles
Prove that ...
Question
Prove that
△
A
B
C
∼
△
E
D
C
Open in App
Solution
I
n
Δ
A
B
C
a
n
d
Δ
E
D
C
⇒
∠
A
B
C
=
90
0
(
g
i
v
e
n
)
⇒
∠
E
D
C
=
90
0
(
g
i
v
e
n
)
∴
B
C
=
C
D
a
n
d
A
B
=
E
D
(
a
l
t
i
t
u
d
e
s
)
t
h
e
n
,
Δ
A
B
C
∼
Δ
E
D
C
B
y
S
.
A
.
S
c
r
i
t
e
r
i
a
Hence, proved.
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Similar questions
Q.
Given that
A
B
∥
D
E
,
∠
A
B
C
=
115
o
,
∠
E
D
C
=
140
o
, then the value of
x
is:
Q.
Given,
△
A
B
C
∼
△
E
D
C
.
Find the condition that must be true according to the given information.
Q.
In the adjoining figure,
A
B
C
D
is a square and
△
E
D
C
is an equilateral triangle. Prove that
∠
D
A
E
=
15
o
.
Q.
In the adjoining figure,
A
B
C
D
is a square and
△
E
D
C
is an equilateral triangle. Prove that
A
E
=
B
E
.
Q.
In the following figure, state the conditions you would use to show that
Δ
A
B
C
and
Δ
E
D
C
are congruent.
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