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Byju's Answer
Standard VII
Mathematics
Construction of a Triangle with SSS Criterion
Construct a ...
Question
Construct a
Δ
A
B
C
in which
A
B
=
5
c
m
,
A
C
=
7
c
m
,
B
C
=
6
c
m
.
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Solution
Steps for construction:-
Draw a line segment
A
B
of
5
c
m
.
Taking
A
and
B
as centre, draw arcs of
7
c
m
and
6
c
m
radius respectively.
Let these arcs intersect each other at point
C
.
Join
A
B
and
A
C
.
△
A
B
C
is the required triangle having length of sides as
5
c
m
,
7
c
m
and
6
c
m
respectively.
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Q.
Can we construct a
∆ABC in which AB = 5 cm, BC = 4 cm and AC = 9 cm? Why?
Q.
Is it possible to construct a
∆ABC in which AB = 5 cm, BC = 5 cm and AC = 10 cm?
(a) Yes
(b) No
Q.
Construct a ∆ABC in which AB = 5 cm, BC = 6 cm and CA = 7 cm. Construct a triangle similar to ∆ABC, such that each of its side is
5
7
the corresponding sides of ∆ABC.