{x_T} = \frac{{{x_A} + {x_B} + {x_C}}}{3}\\ 
{y_T} = \frac{{{y_A} + {y_B} + {y_C}}}{3}\\ 
3{x_B} - 2{y_B} + 2 = 0\\ 
3{x_C} + 5{y_C} - 12 = 0