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Standard IX
Mathematics
Question
In the given figure,
∠
A =
∠
CED. Prove that
△
CAB
∼
△
CED. Also, find the value of
x
.
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Solution
Verified by Toppr
Consider
△
C
A
B
and
△
C
E
D
∠
C
A
B
=
∠
C
E
D
(given)
∠
A
C
B
=
∠
E
C
D
(common angle)
So by
A
A
similarity criteria ,
△
C
A
B
∼
△
C
E
D
Hence proved.
Also corresponding sides are proportional in similar triangles.
So
C
A
C
E
=
A
B
E
D
C
D
+
D
A
C
E
=
A
B
E
D
8
+
7
10
=
9
x
15
10
=
9
x
3
2
=
9
x
x
=
6
c
m
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Similar Questions
Q1
In the given figure,
∠
A =
∠
CED. Prove that
△
CAB
∼
△
CED. Also, find the value of
x
.
View Solution
Q2
In the given figure, ∠A = ∠CED, prove that ∆CAB ∼ ∆CED. Also, find the value of x.