Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.
Given that
Construct a circle of radius
, and 
extended diameter each at distance of 7cm from its centre. Construct the pair of tangents to the circle from these two points 
.
We follow the following steps to construct the given
Step of construction
Step: I First of all we draw a line
.
Step: II taking A as a centre and draw a circle of radius
. Similarly, taking B as a centre and draw a circle of radius
.
Step: III draw the perpendicular bisector of 
Step IV : draw the another circle with taking the bisector point as centre and radius = mid point of which cut the point 
Step: V joins 
and 
respectively. as well as 
to obtain the require tangents.
Thus, 
are the required tangents.