Given AB of length 7.3 cm and CD of length 3.4 cm, construct a line segment XY such that the length of XY is equal to the difference between the lengths of AB and CD. Verify by measurement.

Solution:

With the help of a ruler and a compass, we can draw a line segment by following steps:

Given: length of AB = 7.3 cm and length of CD = 3.4 cm

Steps of construction:

Step 1: Construct a line AB = 7.3 cm and CD = 3.4 cm.

Step 2: Open the compasses up to the length of CD and draw an arc from point A that cuts AB at point P.

Now, open the compasses up to the length of PB.

Step 3: Draw a line l and mark X point on a line l.

Step 4: Place the compass pointer on X and draw an arc to cut the line l at Y.

Hence, XY is the required line segment

Now, XY = AB - CD = 7.3 – 3.4 = 3.9 cm

With the help of a ruler, we can measure the length of XY. It will definitely measure a length of 3.9 cm.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.2 Question 5

Given AB of length 7.3 cm and CD of length 3.4 cm, construct a line segment XY such that the length of XY is equal to the difference between the lengths of AB and CD. Verify by measurement.

Summary:

Given AB of length 7.3 cm and CD of length 3.4 cm, construct a line segment XY such that the length of XY is equal to the difference between the lengths of AB and CD. The measurement is verified by using steps of construction.

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