The NCERT Solutions for Class 8 Maths enhance topics with frequent, focused, engaging maths challenges and activities that strengthen maths concepts. Each question of exercise 4.3 in NCERT Class 8 Maths Solutions has been carefully solved for the students to understand, keeping the examination point of view in mind.
Class 8 Maths Chapter 4-Practical Geometry Exercise 4.3 Questions and answers help the students understand the construction of a quadrilateral when two adjacent sides and three angles are known. These NCERT Solutions are prepared by BYJU’S subject experts using a step-by-step approach.
NCERT Solutions for Class 8 Maths Chapter 4 – Practical Geometry Exercise 4.3
Access Other Exercise Solutions of Class 8 Maths Chapter 4 – Practical Geometry
Exercise 4.1 Solutions 1 Question
Exercise 4.2 Solutions 1 Question
Exercise 4.4 Solutions 1 Question
Exercise 4.5 Solutions 4 Questions
Access Answers to NCERT Class 8 Maths Chapter 4 – Practical Geometry Exercise 4.3 Page Number 64
1. Construct the following quadrilaterals.
(i) Quadrilateral MORE MO = 6 cm
OR = 4.5 cm
∠M = 60°
∠O = 105°
∠R = 105°
Solution:
Rough Figure:
(1) Draw a line segment MO of 6 cm and an angle of 105º at point O. As vertex R is 4.5 cm away from vertex O, cut a line segment OR of 4.5 cm from this ray.
(2) Again, draw an angle of 105º at point R.
(3) Draw an angle of 60º at point M. Let this ray meet the previously drawn ray from R at point E.
MORE is the required quadrilateral.
(ii) Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N = 85°
Solution:
The sum of the angles of a quadrilateral is 360°. In quadrilateral PLAN,
∠P + ∠L + ∠A + ∠N = 360°
90° + ∠L + 110° + 85° = 360°
285° + ∠L = 360°
∠L = 360° − 285° = 75°
Rough Figure:
(1) Draw a line segment PL of 4 cm and draw an angle of 75º at point L. As vertex A is 6.5 cm away from vertex L, cut a line segment LA of 6.5 cm from this ray.
(2) Again, draw an angle of 110º at point A.
(3) Draw an angle of 90º at point P. This ray will meet the previously drawn ray from A at point N.
PLAN is the required quadrilateral.
(iii) Parallelogram HEAR HE = 5 cm
EA = 6 cm
∠R = 85°
Solution:
Rough Figure:
(1) Draw a line segment HE of 5 cm and an angle of 85º at point E. As vertex A is 6 cm away from vertex E, cut a line segment EA of 6 cm from this ray.
(2) Vertex R is 6 cm and 5 cm away from vertex H and A, respectively. By taking radii as 6 cm and 5 cm, draw arcs from points H and A, respectively. These will intersect each other at point R.
(3) Join R to H and A.
HEAR is the required quadrilateral.
(iv) Rectangle OKAY
OK = 7 cm KA = 5 cm
Solution:
Rough Figure:
(1) Draw a line segment OK of 7 cm and an angle of 90º at point K. As vertex A is 5 cm away from vertex K, cut a line segment KA of 5 cm from this ray.
(2) Vertex Y is 5 cm and 7 cm away from vertex O and A, respectively. By taking radii as 5 cm and 7 cm, draw arcs from points O and A, respectively. These will intersect each other at point Y.
(3) Join Y to A and O.
OKAY is the required quadrilateral.
Exercise 4.3 of NCERT Solutions for Class 8 Maths Chapter 4 – Practical Geometry is based on the following topics:
- Constructing a Quadrilateral
- When two adjacent sides and three angles are known
Also, explore –Â
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