Steps to follow,
Step 1: draw line segment AB of length 8 cm
Step 2: taking A as a center, draw a circle of radius 4 cm
Step 3: taking B as a center, draw a circle of radius 3 cm
Step 4: make perpendicular bisector of AB. Let M be the midpoint of AB
Step 5: taking M as center and MA as radius, draw a circle.
Step 6: let circle intersect left circle at P,Q
Step 7: let circle intersect right circle at R,S
Step 8: join BP, BQ, AR, AS
AR, AS, BP, BQ are the required tangents.