NCERT Solutions for Class 10 Maths Chapter 11 Constructions

NCERT Solutions for Class 10 Maths Chapter 11 Constructions

NCERT Solutions for Class 10 Maths

Chapter 11 Constructions

NCERT Solutions for Class 10 Maths Chapter 11 Constructions Exercise 11.1

Page No: 219

Question 1. Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Measure the two parts.

Solution:

The steps of construction are as follows:

1. Draw line segment AB of 7.6 cm and draw a ray AX making an acute angle with side AB.

2. Locate 13 (= 5 + 8) points A1, A2, A3, A4….. A13 on AX such that AA1 = A1A2 = A2A3 ... = A12A13

3. Join BA13.

4. Through the point A5 draw a line parallel to BA13 (by making an angle equal to ∠AA13B) at A5 intersecting AB at point C.

Now C is the point dividing line segment AB of 7.6 cm in the required ratio of 5: 8.

We can measure the lengths of AC and CB. The length of AC and CB comes to 2.9 cm and 4.7 cm respectively.