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please provide me the solutions of maths ex 11.2 class 9th​

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NCERT Solutions for Class 9 Maths Exercise 11.2 Chapter 11 Construction

Construction of various shapes, especially in Geometry, is important as we learn various concepts through this aspect. Furthermore, it is helpful as it has significance in other fields of study. Moreover, this particular concept is important from an academic perspective as it carries a significant number of marks (28 marks from Unit 4, to be precise). Therefore, it is important to learn this concept for exams, and one of the best guides to use for the same is the NCERT Solutions for Class 9 Maths Chapter 11 Constructions Exercise 11.2 and 11.1. Also, NCERT Solutions is held in high regards by many students due to its ease-of-use and versatile content. Consequently, NCERT Solutions is one of the best guides for studies. We have ensured that the conceptual aspects are well-articulated in the chapter. Problems are explained with easy examples and a step-by-step guide for tougher questions. Besides our detailed guide, content is regularly refreshed with immediate changes with respect to CBSE guidelines (if any).

Download PDF of NCERT Solutions for Class 9 Maths Chapter 11 – Constructions Exercise 11.2

ncert sol for class 9 maths chapter 11 ex 2 1

ncert sol for class 9 maths chapter 11 ex 2 2

ncert sol for class 9 maths chapter 11 ex 2 3

ncert sol for class 9 maths chapter 11 ex 2 4

Access Another Exercise Solutions of Class 9 Chapter 11 – Constructions

Exercise 11.1 Solutions

Access Answers to NCERT Class 9 Maths Chapter 11 – Constructions Exercise 11.2

1. Construct a triangle ABC in which BC = 7cm, ∠B = 75° and AB+AC = 13 cm.

Construction Procedure:

The steps to draw the triangle of given measurement is as follows:

1. Draw a line segment of base BC = 7 cm

2. Measure and draw ∠B = 75° and draw the ray BX

3. Take a compass and measure AB+AC = 13 cm.

4. With B as centre and draw an arc at the point be D

5. Join DC

6. Now draw the perpendicular bisector of the line BD and the intersection point is taken as A.

7. Now join AC

8. Therefore, ABC is the required triangle.

Ncert solutions class 9 chapter 11-13

2. Construct a triangle ABC in which BC = 8cm, ∠B = 45° and AB–AC = 3.5 cm.

Construction Procedure:

The steps to draw the triangle of given measurement is as follows:

1. Draw a line segment of base BC = 8 cm

2. Measure and draw ∠B = 45° and draw the ray BX

3. Take a compass and measure AB-AC = 3.5 cm.

4. With B as centre and draw an arc at the point be D on the ray BX

5. Join DC

6. Now draw the perpendicular bisector of the line CD and the intersection point is taken as A.

7. Now join AC

8. Therefore, ABC is the required triangle.

Ncert solutions class 9 chapter 11-14

3. Construct a triangle PQR in which QR = 6cm, ∠Q = 60° and PR–PQ = 2cm.

Construction Procedure:

The steps to draw the triangle of given measurement is as follows:

1. Draw a line segment of base QR = 6 cm

2. Measure and draw ∠Q = 60° and let the ray be QX

3. Take a compass and measure PR–PQ = 2cm.

4. Since PR–PQ is negative, QD will below the line QR.

5. With Q as centre and draw an arc at the point be D on the ray QX

6. Join DR

7. Now draw the perpendicular bisector of the line DR and the intersection point is taken as P.

8. Now join PR

9. Therefore, PQR is the required triangle.

Ncert solutions class 9 chapter 11-15

4. Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY+YZ+ZX = 11 cm.

Construction Procedure:

The steps to draw the triangle of given measurement is as follows:

1. Draw a line segment AB which is equal to XY+YZ+ZX = 11 cm.

2. Make an angle ∠Y = 30° from the point A and the angle be∠LAB

3. Make an angle ∠Z = 90° from the point B and the angle be ∠MAB

4. Bisect ∠LAB and ∠MAB at the point X.

5. Now take the perpendicular bisector of the line XA and XB and the intersection point be Y and Z respectively.

6. Join XY and XZ

7. Therefore, XYZ is the required triangle

Ncert solutions class 9 chapter 11-16

5. Construct a right triangle whose base is 12cm and sum of its hypotenuse and other side is 18 cm.

Construction Procedure:

The steps to draw the triangle of given measurement is as follows:

1. Draw a line segment of base BC = 12 cm

2. Measure and draw ∠B = 90° and draw the ray BX

3. Take a compass and measure AB+AC = 18 cm.

4. With B as centre and draw an arc at the point be D on the ray BX

5. Join DC

6. Now draw the perpendicular bisector of the line CD and the intersection point is taken as A.

7. Now join AC

8. Therefore, ABC is the required triangle.

Ncert solutions class 9 chapter 11-17

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