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Sum

Draw a line segment AB of length 5.3 cm. Using two different methods bisect AB.

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#### Solution

**Steps of Construction :**

- Draw a line segment AB = 5.3 cm
- With A as centre and radius equal to more than half of AB, draw arcs on both sides of AB.
- With B as the centre and with the same radius as taken in step 2, draw arcs on both sides of AB.
- Let the arcs intersect each other at points P and Q.
- Join P and Q.
- The line PQ cuts the given line segment AB at point O.

Thus, PQ is a bisector of AB such that

OA = OB = `1/2`AB

**Second Method**

**Steps of Construction :**

- Draw the given line segment AB = 5.3 cm.
- At A, construct ∠PAB of any suitable measure. Then ∠PAB = 60° construct ∠QBA = 60°
- 3. From AP, cut AR of any suitable length and from BQ; cut BS = AR.
- Join R and S
- Let RS cut the given line segment AB at the point O.

Thus RS is a bisector of AB such that OA = OB = `1/2`AB

Concept: Construction of an Angle - To Draw the Bisector of a Given Angle

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