Q. 12 B5.0( 3 Votes )

# In the adjoining figure, ΔABC circumscribed a circle and touches the points P,Q,R. If AP = 4 cm, BP = 6cm, AC = 12 cm and BC = x cm, let us determine the value of x.

AP = 4 cm

BP = 6cm

AC = 12 cm

AP = AR = 4 cm (Tangents drawn from an external point to the same circle are always equal)

CR = (AC-AR) = 8 cm

CR = CQ = 8 cm (Tangents drawn from an external point to the same circle are always equal)

BP = BQ = 6 cm (Tangents drawn from an external point to the same circle are always equal)

x = BC = (BQ + CQ) = 14 cm

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