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

The NCERT Solutions for Class 8 Maths enhance topics with frequent, focused, engaging math challenges and activities that strengthen math concepts. Each question of the exercise 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 4.4 questions and answers helps the students to understand the construction of a quadrilateral when three sides and two included angles are given. These NCERT Solutions are prepared by BYJU’S subject experts using a step-by-step approach.

Download PDF of 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.


The 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

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