8th Maths 4.4

Chapter 4

Practical Geometry

NCERT Class 8th Solution of Exercise 4.1

NCERT Class 8th Solution of Exercise 4.2

NCERT Class 8th Solution of Exercise 4.3

NCERT Class 8th Solution of Exercise 4.5

EXERCISE 4.4

Q1. Construct the following quadrilaterals.

i) Quadrilateral DEAR
DE=4cm
EA=5cm
AR=4.5cm
∠E=60°
∠A=90°

ii) Quadrilateral TRUE
TR=3.5 cm

RU=3cm
UE=4cm
∠U=120°
∠R=75°

`text{Solution:}`

i) `text{Quadrilateral DEAR}`
`text{DE=4cm}`
`text{EA=5cm}`
`text{AR=4.5cm}`
`text{∠E=60°}`
`text{∠A=90°}`

`text{Rough sketch of a quadrilateral DEAR}`

`text{Fair sketch of a quadrilateral DEAR}`

`text{Step of construction}`

1) `text{Draw DE = 4cm.}`

2) `text{Draw angle of 60° at E.}`

3) `text{Draw an arc with center E of radius 5 cm}``text{ to meet angle line at A.}`

4) `text{Draw an angle of 90° at A and cut}``text{ AR=4.5 cm.}`

5) `text{Join DR.}`

5) `text{We get quadrilateral DEAR.}`  

ii) `text{Quadrilateral TRUE}`
`text{TR=3.5 cm}`

`text{RU=3cm}`
`text{UE=4cm}`
`text{∠U=120°}`
`text{∠R=75°}`

`text{Rough sketch of a quadrilateral TRUE}`

`text{Fair sketch of a quadrilateral TRUE}`

`text{Step of construction}`

1) `text{Draw TR = 3.5cm.}`

2) `text{Draw an angle of 75° at R and}``text{ cut RU=3 cm.}`

4) `text{Draw an angle of 120° at U and}``text{ cut UE=4 cm.}`

5) `text{Join TE.}`

5) `text{We get quadrilateral TURE.}`