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Byju's Answer
Standard VI
Mathematics
Perpendicular Bisector and Its Construction
Draw a triang...
Question
Draw a triangle
A
B
C
in which
∠
A
=
120
o
and
A
B
=
A
C
=
3
c
m
. Draw the bisectors angle
A
.
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Solution
!
(
B
A
D
)
=
!
(
D
A
C
)
=
60
0
=
60
0
1.
Draw a line segment
A
B
=
3
cm
2.
Using protractor from
B
measure from
0
∘
and mark a point at
120
∘
3.
From the point
A
using compass draw an arc of length
3
cm
∴
A
B
=
A
C
=
3
cm
4.
Join
B
C
5.
Draw an arc at
∠
A
6.
Bisect the arc at
∠
A
and name the point of intersection of the arc as
D
7.
Join
A
D
t
h
e
r
e
f
o
r
e
A
D
is the angle bisector.
Hence
∠
B
A
D
=
∠
D
A
C
=
60
∘
'
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Q.
Draw a triangle ABC with AB = 3 cm, BC = 4 cm and
∠B = 60°. Also, draw the bisector of angles C and A of the triangle, meeting in a point O. Measure ∠COA.