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Mathematics

Draw a line segment AB\overline{AB} of length 5.4 cm. Construct a perpendicular at A by using a ruler and compass.

Constructions

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Answer

Steps:

  1. Draw a line segment AB\overline{AB} of length 5.4 cm.

  2. Produce BA beyond A to any convenient point so that A becomes a point on a line.

  3. With A as centre and any suitable radius, draw an arc cutting BA produced at point C and AB at point D.

  4. With C and D as centres, draw two arcs of equal radius (>12CD)\left(\gt\dfrac{1}{2}\text{CD}\right) cutting each other at point P.

  5. Join AP and produce it.

Draw a line segment AB of length 5.4 cm. Construct a perpendicular at A by using a ruler and compass. Practical Geometry (Constructions), ML Aggarwal Understanding Mathematics Solutions ICSE Class 6.

Hence, AP is the required perpendicular to AB\overline{AB} at A.

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