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Mathematics

Take a line segment PQ\overline{PQ} of length 10 cm. From PQ\overline{PQ}, cut off PA\overline{PA} of length 4.3 cm and BQ\overline{BQ} of length 2.5 cm. Measure the length of segment AB\overline{AB}.

Constructions

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Answer

Steps:

  1. Draw a line segment PQ of length 10 cm using ruler and compass.

  2. With P as centre and radius 4.3 cm, draw an arc cutting PQ at point A. So, PA = 4.3 cm.

  3. With Q as centre and radius 2.5 cm, draw an arc cutting PQ at point B. So, BQ = 2.5 cm.

  4. Measure the length of segment AB using a ruler.

Take a line segment PQ. Practical Geometry (Constructions), ML Aggarwal Understanding Mathematics Solutions ICSE Class 6.

AB = PQ − PA − BQ = 10 cm − 4.3 cm − 2.5 cm = 3.2 cm.

Hence, the length of line segment AB\overline{AB} = 3.2 cm.

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