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Standard X
Mathematics
AAA Similarity
28. In a trap...
Question
28. In a trapezium ABCD, AB || DC and DC = 2AB. EF || AB, where E and F lie on BC and AD respectively such that BE/EC = 4/3. Diagonal DB intersects EF at G. Prove that, 7EF = 11AB.
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Similar questions
Q.
In a trapezium
A
B
C
D
,
A
B
∥
D
C
and
D
C
=
2
A
B
.
E
F
drawn parallel to
A
B
cuts
A
D
in
F
and
B
C
in
E
such that
B
E
E
C
=
3
4
. Diagonal
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intersects
E
F
at
G
. Prove that
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F
E
=
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Q.
In trapezium ABCD, AB||DA and DC=2AB. EF drawn parallel to AB cuts AD in F
and BC in E such that
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E
E
C
=
3
4
. Diagonal DB intersects EF at G. Prove that 7FE=10 AB.
Q.
In a trapezium ABCD,
A
B
∥
D
C
and
D
C
=
2
A
B
. EFdrawn parallel to AB cuts AD in F and BC in E such that
B
E
E
C
=
3
4
. Diagonal DB intersects
E
F
at
G
, then
Q.
In a trapezium ABCD, AB|| DC and DC = 2AB, FE drawn parallel to AB cuts AD in F and BC in E such that 4BE = 3EC. Diagonal DB intersects EF at G. Prove that 7FE = 10 AB. [4 MARKS]
Q.
In the trapezium
A
B
C
D
A
B
∥
D
C
,
E
F
∥
A
B
,
D
C
=
2
A
B
and
B
E
E
C
=
3
4
. Prove that
7
E
F
=
10
A
B
.
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