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Byju's Answer
Standard VIII
Mathematics
Construction of a Quadrilateral When Two Diagonals and Three Sides Are Given
Construct qua...
Question
Construct quadrilateral to the given measurement, the order of the letterr in this case is
A
,
B
,
C
,
D
A
C
=
6
c
m
,
B
D
=
5.8
c
m
,
A
B
=
3.4
c
m
,
A
D
=
5.2
c
m
,
B
C
=
4.2
c
m
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Solution
Steps of construction:
Draw
A
B
=
3.4
cm
With
A
as centre and
6
cm radius draw an arc.
With
B
as centre and
4.2
cm as radius drawn another arc to intersect the above at
C
.
Join
A
C
and
B
C
.
With
A
as centre
5.2
cm as radius draw an arc.
With
B
as centre and
5.8
cm as radius draw another arc to intersect the above at
D
.
Join
A
D
,
B
D
and
C
D
.
Hence,
A
B
C
D
is the required quadrilateral in the above drawn figure.
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Similar questions
Q.
Construct quadrilateral to the given measurement, the order of the letters in this case is
A
,
B
,
C
,
D
A
B
=
C
D
=
5.2
c
m
,
B
C
=
A
D
=
3.2
c
m
,
B
D
=
7.2
c
m
Q.
Construct a quadrilateral
A
B
C
D
in which
A
B
=
4.2
c
m
,
B
C
=
6
c
m
,
C
D
=
5.2
c
m
,
D
A
=
5
c
m
and
A
C
=
8
c
m
.
Q.
Construct parallelogram
A
B
C
D
with the following measurements:
A
D
=
4.2
c
m
,
D
C
=
5.8
c
m
,
A
C
=
3.4
c
m
Q.
Construct a
□
A
B
C
D
such that
A
B
=
5.2
c
m
,
B
C
=
3.1
c
m
,
A
D
=
4.7
c
m
,
A
C
=
4.2
c
m
and
B
D
=
6.1
c
m
.
Find
m
∠
A
B
C
=
?
Q.
Construct a cyclic quadrilateral
A
B
C
D
such that
A
B
=
3.4
c
m
,
B
C
=
4.2
c
m
,
A
D
=
2.7
c
m
and
∠
A
B
C
=
60
∘
.
Then,
l
(
C
D
)
=
?
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