question_answer

In \[\Delta \text{ABC},\text{ }\angle \text{B}>\text{9}0{}^\circ \]and \[\text{AD}\bot \text{CB}\] (produced). Identify the correct statement.

A) \[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}+2BC.BD\]

B)  \[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}+2BC.AB\]

C)  \[A{{B}^{2}}=A{{C}^{2}}-B{{C}^{2}}+2BC.BD\]

D) \[A{{B}^{2}}=A{{C}^{2}}+B{{C}^{2}}+2BC.AC\]