Given : Line segment AB = 8.5cm.
Two circles with radii 5 cm and 2 cm on the two ends of AB.
Steps of construction :
(1) First of all, we draw a line segment AB = 8.5 cm
(2) Taking A as center and radius 5 cm, draw circle draw another circle of radius 2 cm at B.
(3) Bisect line segment AB at M.
(4) With M as center and MA as radius, draw a circle which intersects the circle center A at S and T and the circle center B at P and Q.
(5) Join SB, TB, PA and QA.
Hence SB and TB are the tangents to the circle center A from B also PA and QA are the tangents to the circle center B from A.