NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.3 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.3.
- Practical Geometry Class 8 Ex 4.1
- Practical Geometry Class 8 Ex 4.2
- Practical Geometry Class 8 Ex 4.4
- Practical Geometry Class 8 Ex 4.5
| Board | CBSE |
| Textbook | NCERT |
| Class | Class 8 |
| Subject | Maths |
| Chapter | Chapter 4 |
| Chapter Name | Practical Geometry |
| Exercise | Ex 4.3 |
| Number of Questions Solved | 1 |
| Category | NCERT Solutions |
NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.3
Ex 4.3 Class 8 Maths Question 1.
Construct the following quadrilaterals :
(i) Quadrilateral MORE
MO = 6 cm
OR = 4.5 cm
∠M = 60°
∠O = 105°
∠R = 105°
(ii) Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N – 85°.
(iii) Parallelogram HEAR
HE = 5 cm
EA = 6 cm
∠R = 85°
(iv) Rectangle OKAY
OK = 7 cm
KA = 5 cm.
Solution.
(i) Draw a rough sketch of the required quadrilateral and write down its dimensions.
Steps of Construction :
- Draw MO = 6 cm.
- Make ∠MOX = 105°.
- With O as centre and radius 4.5 cm, cut off OR = 4.5 cm along OX.
- Make ∠ORY = 105°.
- Make ∠ZMO = 60° such that arms RY and MZ intersect at E.
Then, MORE is the required quadrilateral.
(ii) Draw a rough sketch of the required quadrilateral PLAN and write down its dimensions.
Before taking up the construction let us find the ∠PLA which is equal to 360° – (90°+ 110°+ 85°)
= 360°-285° = 75°.
Steps of Construction :
- Draw PL = 4 cm.
- Make ∠XPL =90°.
- Make ∠YLP = 75°.
- With L as centre and radius 6.5 cm, cut off LA – 6.5 cm along LY.
- Make ∠ZAL =110° and let its arm AZ intersect PX at N.
Then, PLAN is the required quadrilateral.
(iii) We know that the opposite angles of a parallelogram are equal. Make a rough sketch of the required parallelogram as shown.
Steps of Construction :
- Draw HE = 5 cm.
- Make ∠HEX = 85°.
- With E as centre and radius 6 cm, cut off EA = 6 cm along EX.
- With A as centre and radius 5 cm, draw an arc.
- With H as centre and radius 6 cm, draw another arc cutting the previous arc at R.
- Join HR and AR.
Then, HEAR is the required parallelogram.
(iv) We known that the opposite sides of a rectangle are equal and each angle of it is 90°.
Make a rough sketch of the required
rectangle and write down its dimensions.
Steps of Construction :
- Draw OK = 7 cm.
- Draw ∠OKX = 90°.
- With K as centre and radius 5 cm, draw an arc KX at A.
- With A as centre and radius 7 cm, draw an arc.
- With O as centre and radius 5 cm, draw another arc cutting the previous arc at Y.
- Join AY and OY.
Then, OKAY is the required rectangle.
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