- Home
- Mathematics
- Constructions

The perpendicular bisector of a line segment divides the line segment into two parts of equal length and it is perpendicular to the given line segment.

To construct the perpendicular bisector of a line segment we draw arcs by taking end points of line segment as centres and radius more than half of length of line segment, intersecting each other on both sides of the line segment. By joining these points of intersection, we can get the perpendicular bisector of the given line segment.

**Q.** Draw a line segment of length 10.3 cm and construct its perpendicular bisector.

**Q.** Construct an equilateral triangle of side 4.3 cm

**Q.** Construct a right triangle ABC in which ∠B = 90°, AB + AC = 10 cm, BC = 6cm.

**Q.** Construct a triangle PQR in which QR = 7cm , ∠Q = 75° , PQ + PR = 13 cm.