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Draw an angle ABC = 60°. Draw the bisector of it. Also draw a line parallel to BC a distance of 2.5 cm from it.
Let this parallel line meet AB at point P and angle bisector at point Q. Measure the length of BP and PQ. Is BP = PQ ?

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Steps of construction :

  1. Draw, ∠ABC = 60°
  2. Draw BD, the bisector of ∠ABC.
  3. Taking B as centre, draw an arc of radius 2.5 cm.
  4. Taking C as centre, draw another arc of radius 2.5 cm.
  5. Draw a line MN which touches these two arcs drawn. Then MN is the required line parallel to BC.
  6. Let this line MN meets AB at P and bisector BD at Q.
  7. Measure BP and PQ.
    By measurement we see BP = PQ.

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