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Byju's Answer
Standard IX
Mathematics
Given Base(BC), Base Angle(ABC) and AB-AC
Construct tri...
Question
Construct triangle
A
B
C
in which
B
C
=
6
c
m
,
A
B
−
A
C
=
3.1
c
m
and
∠
B
=
30
∘
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Solution
1. Draw a line
B
C
=
6
c
m
2. Construct
30
o
at
B
. Extend
B
P
.
3. Take
3.1
c
m
on compass, cut an arc on
B
P
. Join
C
X
.
4. Take perpendicular bisector of
C
X
. It intersects with
B
P
at
A
. Join
A
C
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Q.
Construct a ∆ABC in which BC = 6 cm, ∠B = 30° and AB – AC = 3.5 cm. Justify your construction.