Steps of Construction:
(i) (1) Draw line AB = 5 cm
(2) From AB cut AC = 3 cm.
(3) Draw right bisector of AC.
(4) Taking A as centre and AO = 2.5 cm cm as radius, draw an arc to meet the right bisector of AC at O.
(5) Taking O as the centre and AO = 2.5 cm as radius, draw a circle, which passing through A&C.
(6) Join BO.
(7) Draw right bisector of BO, which cuts BO at P.
(8) Taking P as centre and OP as radius, draw a circle which cuts old circle at R & T.
(9) Join BR and BT. These are required tangents.
(ii) Length of tangent = 3 cm.