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.

Construction Steps:

1. Draw a line segment AB of length 8 cm.

2. Taking A as centre, draw a circle of radius 4 cm.

3. Taking B as centre, draw another circle of radius 3 cm.

4. Let Z be the mid-point of AB. From Z, draw a circle taking ZA = ZB as radius, so that the circle intersects the bigger circle at M and N and smaller circle at X and Y respectively.

5. Join AX, AY and BM, BN.

∴ BM, BN are the required tangents from the external point B and AX, AY are the required tangents from the external point A.