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Byju's Answer
Standard VIII
Mathematics
4 Sides, 1 Angle
A Quadrilater...
Question
A Quadrilateral ABCD can be formed, when:
A
B
=
3.5
cm,
B
C
=
5.2
cm,
C
D
=
6.2
cm,
D
A
=
4.2
cm, and
B
D
=
5.2
cm.
A
True
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B
False
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Solution
The correct option is
A
True
In triangle
B
C
D
, sum of the two smallest sides
=
5.2
+
5.2
>
6.2
Hence, we can construct a triangle with this pair.
Similarly in triangle
A
B
D
,
4.2
+
3.5
>
5.2
Thus, quadrilateral
A
B
C
D
can be formed with given set of sides and diagonal.
Suggest Corrections
1
Similar questions
Q.
Construct a quadrilateral
A
B
C
D
, when
A
B
=
3.2
cm,
B
C
=
5.2
cm,
C
D
=
6.2
cm,
D
A
=
4.2
cm and
B
D
=
5.2
cm.
Q.
Construct a quadrilateral
ABCD
, when:
AB
=
3.2
cm
,
BC
=
5.2
cm
,
CD
=
6.2
cm
,
DA
=
4.2
cm
and
BD
=
5.2
cm
.
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
.The length of side
C
D
is
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
, then
m
∠
D
A
B
=
?
Q.
A quadrilateral ABCD is to be constructed with AB = 2 cm, BC = 3.5 cm, CD = 3 cm and DA = 4 cm. Which of the following value given for BD is not possible?
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