Using a ruler and compasses construct:
(i) a triangle ABC in which AB = 5.5 cm, BC = 3.4 cm and CA = 4.9 cm.
(ii) the locus of points equidistant from A and C.
Solution:

Construct triangle ABC, with AB = 7 cm, BC = 8 cm and ∠ABC = 60°. Locate by construction the point P such that:
(i) P is equidistant from B and C and
(ii) P is equidistant from AB and BC
(iii) Measure and record the length of PB. (2000)
Solution:

More Solutions:
- Draw a circle of radius 4 cm and mark two chords AB and AC.
- Draw the locus of all points which are equidistant from A and B.
- Construct the locus of a point P such that area of triangle PAB is 14 cm².
- AB and CD are two intersecting lines.
- Construct a rhombus PQRS whose diagonals PR, QS are 8 cm and 6 cm.
- By using ruler and compass only, construct a quadrilateral ABCD.