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Question
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?
Solution
Steps of construction :
- Draw, ∠ABC = 60°
- Draw BD, the bisector of ∠ABC.
- Taking B as centre, draw an arc of radius 2.5 cm.
- Taking C as a centre, draw another arc of radius 2.5 cm.
- Draw a line MN that touches these two arcs drawn. Then MN is the required line parallel to BC.
- Let this line MN meets AB at P and bisector BD at Q.
- Measure BP and PQ.
By measurement, we see BP = PQ.
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