NCERT Solutions for Class 8 Maths Chapter 4 - Practical Geometry Exercise 4.4

The NCERT Solutions for Class 8 Maths enhance students’ learning by providing frequent, focused, engaging Maths activities that strengthen their Maths concepts. Each question of exercise 4.4 in NCERT Class 8 Maths Solutions has been solved carefully and in an easy-to-understand way for the students to understand and practise from an examination point of view.

Class 8 Maths Chapter 4 – Practical Geometry Exercise 4.4 Questions and answers help the students to understand the construction of a quadrilateral when three sides and two included angles are given. These NCERT Solutions are prepared by the subject-matter experts at BYJU’S in a step-by-step manner.

NCERT Solutions for Class 8 Maths Chapter 4 – Practical Geometry Exercise 4.4

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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 4.3 Solutions 1 Question

Exercise 4.5 Solutions 4 Questions

Access Answers to NCERT Class 8 Maths Chapter 4 – Practical Geometry Exercise 4.4 Page Number 67

1. Construct the following quadrilaterals:

(i) Quadrilateral DEAR DE = 4 cm

EA = 5 cm AR

= 4.5 cm

∠E = 60°

∠A = 90°

Solution:

Rough Figure:

NCERT Solution For Class 8 Maths Chapter 4 Image 45

(1) Draw a line segment DE of 4 cm and an angle of 60º at point E. As vertex A is 5 cm away from vertex E, cut a line segment EA of 5 cm from this ray.

NCERT Solution For Class 8 Maths Chapter 4 Image 46

(2) Again, draw an angle of 90º at point A. As vertex R is 4.5 cm away from vertex A, cut a line segment RA of 4.5 cm from this ray.

NCERT Solution For Class 8 Maths Chapter 4 Image 47

NCERT Solution For Class 8 Maths Chapter 4 Image 48(3) Join D to R.

DEAR is the required quadrilateral.

(ii) Quadrilateral TRUE TR = 3.5 cm

RU = 3 cm UE = 4 cm

∠R = 75°

∠U = 120°

Solution:

Rough Figure:

NCERT Solution For Class 8 Maths Chapter 4 Image 49

(1) Draw a line segment RU of 3 cm and an angle of 120º at point U. As vertex E is 4 cm away from vertex U, cut a line segment UE of 4 cm from this ray.

NCERT Solution For Class 8 Maths Chapter 4 Image 50

(2) Next, draw an angle of 75º at point R. As vertex T is 3.5 cm away from vertex R, cut a line segment RT of 3.5 cm from this ray.

NCERT Solution For Class 8 Maths Chapter 4 Image 51

(3) Join T to E.

NCERT Solution For Class 8 Maths Chapter 4 Image 52

TRUE is the required quadrilateral.


Exercise 4.4 of NCERT Solutions for Class 8 Maths Chapter 4 – Practical Geometry is based on the following topics:

  1. Constructing a Quadrilateral
    • When three sides and two included angles are given

Also, explore – 

NCERT Solutions for Class 8 

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