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Byju's Answer
Standard VIII
Mathematics
Construction of Parallelogram When Two Adjacent Sides and the Included Angles Are Given.
Construct a q...
Question
Construct a quadrilateral
M
O
R
E
where
M
O
=
6
c
m
,
O
R
=
4.5
c
m
,
∠
M
=
60
o
,
∠
O
=
105
o
and
∠
R
=
105
o
Then, perimeter of
□
M
O
R
E
(in cm) is
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Solution
⇒
Draw a line segment
M
O
of
6
c
m
.
⇒
Take
M
as a center draw an angle of
60
o
.
⇒
Take point
O
as a center draw an angle of
105
o
.
⇒
Cut
O
R
at
4.5
c
m
⇒
Take
R
point as a center draw an angle of
105
o
.
⇒
The arc of
105
o
angle and the arc of
60
o
angle intersect with each other at
E
.
⇒
Hence,
M
O
R
E
is a required Quadrilateral.
⇒
Now, by using scale measure the length of side
E
M
and
R
E
.
We get,
E
M
=
7.5
c
m
and
R
E
=
4
c
m
⇒
Perimeter of
□
M
O
R
E
=
M
O
+
O
R
+
R
E
+
E
M
=
(
6
+
4.5
+
4
+
7.5
)
c
m
=
22
c
m
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1
Similar questions
Q.
Construct a quadrilateral
M
O
R
E
where
M
O
=
6
c
m
,
O
R
=
4.5
c
m
,
∠
M
=
60
o
,
∠
O
=
105
o
and
∠
R
=
105
o
.
Q.
Quadrilateral
M
O
R
E
M
O
=
6
c
m
O
R
=
4.5
c
m
∠
M
=
60
o
∠
O
=
105
o
∠
R
=
105
o
Q.
Construct the Quadrilateral
M
O
R
E
where
Given
M
O
=
6
c
m
,
O
R
=
4.5
c
m
,
∠
M
=
60
∘
,
∠
O
=
105
∘
∠
R
=
105
∘
Q.
Construct the following Quadrilateral of given measures.
In
Quadrilateral
MORE:
ℓ
(
M
O
)
=
5.8
c
m
,
ℓ
(
O
R
)
=
4.4
c
m
,
m
∠
M
=
58
o
,
m
∠
O
=
105
o
,
m
∠
R
=
90
o
?
Q.
Construct a quadrilateral MORE where MO = 6 cm ,OR = 4.5 cm,
∠
M
=
60
∘
,
∠
O
=
105
∘
,
∠
R
=
105
∘
.
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