question_answer

Direction: A \[\Delta \,ABC\] is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see figure).

Area of \[\Delta \,ABC\] is

A)  \[40\text{ }c{{m}^{2}}\]                    

B)  \[64\text{ }c{{m}^{2}}\]       

C)  \[81\text{ }c{{m}^{2}}\]                    

D)  \[84\text{ }c{{m}^{2}}\]