Draw circles with centres A, B and C each of radius 3 cm, such that each circle touches the other two circles.

Answer: Draw an equilateral triangle ABC of side 6 cm and draw circles of radius 3 cm with centres A, B, C.

Each pair of circles must touch externally, so the distance between any two centres = 3 + 3 = 6 cm. Hence A, B, C are vertices of an equilateral triangle of side 6 cm.

1. Draw seg AB = 6 cm.
2. With centres A and B and radius 6 cm draw arcs intersecting at C. Join AC and BC.
3. With centres A, B and C draw circles of radius 3 cm each.

The circles touch each other at the midpoints of AB, BC and CA.