In figure (i) given below, triangle ABC is circumscribed, find x.

From figure, AP and AQ are the tangents to the circle.

∴ AQ = AP = 4 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)

From figure, BP and BR are the tangents to the circle.

∴ BR = BP = 6 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)

From figure,

CQ = CA - AQ = 12 - 4 = 8 cm.

From figure, CQ and CR are the tangents to the circle.

∴ CR = CQ = 8 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)

From figure,

x = BR + CR = 6 + 8 = 14 cm.

Hence, the value of x = 14 cm.