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.

Step - 1: Draw a line segment AB = 8 cm
Step - 2: With A as center, draw a circle with radius 4 cm and let it intersect AB at C
Step - 3: With B as center, draw a circle with radius 3 cm
Step - 4: With C as center, draw a circle with AC as radius and let it intersect the given circles in E, F, G, H
Step - 5: Join AE, AF, BG, BH. These are the tangents
∠BEA = 90° (angle in semicircle with center C) and also BE is radius of the circle with center B
⇒ AE is perpendicular to radius BE
⇒ AE is tangent to the circle
Similarly for rest tangents. Hence: