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Byju's Answer
Standard VIII
Mathematics
Construction of a Quadrilateral When Four Sides and One Diagonal Are Given
Construct a q...
Question
Construct a quadrilateral ABCD such that AB=
3.5
c
m
,
BC=
4.5
c
m
, CD=
3.5
c
m
,
AD=
5.6
c
m
, AC=
6.6
c
m
.
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Solution
⇒
Draw a line segment
A
B
=
3.5
c
m
⇒
Take
B
as center with radius
4.5
c
m
and draw an arc.
⇒
Take
A
as center with radius
6.6
c
m
and draw an arc, which is meeting previous arc at point
C
.
⇒
Take
C
as center with radius
3.5
c
m
and draw an arc.
⇒
Take
A
as center with radius
5.6
c
m
and draw an arc, which is meeting previous arc at point
D
.
⇒
Join
B
C
,
A
C
,
C
D
and
A
D
∴
A
B
C
D
is a required quadrilateral.
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Q.
Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 3.8 cm, CD = DA = 4.5 cm and diagonal BD = 5.6 cm.