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Mathematics

Construct AB\overline{AB} of length 8.3 cm. From this cut off AC\overline{AC} of length 5.6 cm. Measure the length of BC\overline{BC}.

Constructions

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Answer

Steps:

  1. Draw a line l and mark a point A on it.

  2. Using compass and ruler, set the opening of the compass to 8.3 cm. With A as centre, draw an arc cutting line l at point B. Thus AB = 8.3 cm.

  3. Now set the opening of the compass to 5.6 cm. With A as centre, draw another arc cutting AB at point C. Thus AC = 5.6 cm.

  4. Measure BC using a ruler.

Construct AB of length 8.3 cm. Practical Geometry (Constructions), ML Aggarwal Understanding Mathematics Solutions ICSE Class 6.

BC = AB − AC = 8.3 cm − 5.6 cm = 2.7 cm.

Hence, the length of BC\overline{BC} = 2.7 cm.

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