Straight Line Question 170

Question: $ ( x _{i},y _{i} ) $ are vertices of a equilateral triangle ABC such that $ {{( x_1-2 )}^{2}}+{{( y_1-3 )}^{2}}={{( x_2-2 )}^{2}}+{{( y_2-3 )}^{2}} $ $ ={{( x_3-2 )}^{2}}+{{( y_3-3 )}^{2}} $ .Then $ 2( x_1+x_2+x_3 )+3( y_1+y_2+y_3 )= $

Solution:

Answer: 39.00