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Byju's Answer
Standard VIII
Mathematics
Drawing a triangle with 2 sides and included angle given construction of triangle with SAS criterion
Construct Δ P...
Question
Construct
Δ
P
Q
R
, given
¯
¯¯¯¯¯¯
¯
P
Q
=
6.5
c
m
,
¯
¯¯¯¯¯¯
¯
P
R
=
7
c
m
, and
¯
¯¯¯¯¯¯¯
¯
Q
R
=
8
c
m
[ 4 Marks]
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Solution
1) Draw
¯
¯¯¯¯¯¯
¯
P
Q
=
6.5
c
m
2) With P as centre, draw an arc with radius equal to 7 cm. [2 Marks]
3) With Q as centre, draw another arc with radius 8 cm to cut the previous arc at R.
4) Join R to P and Q. PQR is the required triangle.
[2 Marks]
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Similar questions
Q.
Construct
Δ
P
Q
R
, given
¯
¯¯¯¯¯¯
¯
P
Q
=
6.5
c
m
,
¯
¯¯¯¯¯¯
¯
P
R
=
7
c
m
, and
¯
¯¯¯¯¯¯¯
¯
Q
R
=
8
c
m
Q.
Construct
Δ
P
Q
R
, given
¯
¯¯¯¯¯¯
¯
P
Q
=
6.5
c
m
,
¯
¯¯¯¯¯¯
¯
P
R
=
7
c
m
, and
¯
¯¯¯¯¯¯¯
¯
Q
R
=
8
c
m
[3 MARKS]
Q.
Construct
Δ
P
Q
R
, given
¯
¯¯¯¯¯¯
¯
P
Q
=
3.5
c
m
,
¯
¯¯¯¯¯¯
¯
P
R
=
3
c
m
, and
∠
R
P
Q
=
120
∘
Q.
Construct a
Δ
PQR with QR = 8 cm, PQ = 7 cm, PR = 5 cm. Construct the incircle of the triangle and find the radius of the incircle.
[3 Marks]
Q.
(a) Construct
Δ
P
Q
R
, given
¯
¯¯¯¯¯¯
¯
P
Q
=
3.5
c
m
,
¯
¯¯¯¯¯¯
¯
P
R
=
4.5
c
m
, and
¯
¯¯¯¯¯¯¯
¯
Q
R
=
5.5
c
m
(b) Construct ΔPQR, when PQ = 4 cm, QR = 6 cm and ∠PQR = 60
∘
. [4 MARKS]
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