If \[\left( \mathbf{a}+\mathbf{b}+\mathbf{c} \right)=\mathbf{15}\] and \[(ab+bc+ca)=74,\] find the value of \[\left( {{a}^{2}}+{{b}^{2}}+{{c}^{2}} \right)\]

• A.  67    
• B.  77    
• C.  57    
• D.  37