Draw a circle of radius 2.7 cm. Draw a tangent to the circle at any point on it.

Answer: Draw the radius to the point and draw a line perpendicular to it at that point; this is the tangent.

Steps of construction:

1. Draw a circle with centre O and radius 2.7 cm. Take any point P on the circle.
2. Draw ray OP and extend it beyond P.
3. Through P draw line \(l\) perpendicular to ray OP.
4. Line \(l\) is the required tangent at P.

Reason: a line perpendicular to the radius at its outer end is a tangent (tangent theorem).