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Q.

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.

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Detailed Solution

Step I : Construct AB¯ = 7.3 cm and CD¯ = 3.4 cm.

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Step II: Take a point X on the given line l.
Step III: Construct XP¯ such that XP¯ = AB¯ = 7.3 cm.
Step IV: Construct YP¯CD¯ = 3.4 cm such that XY¯=AB¯-CD¯ .
Verification: On measuring, we observe that XY¯=3.9 cm

 XY¯=AB¯-CD¯XY¯=7.3-3.4XY¯=3.9 cm 
Thus, XY¯=AB¯-CD¯.

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