In the coordinate plane, A = (4,-1), B = (6,2), and C = (-1,2). There exists a point Q and a constant K such that for any point P,

PA^2 + PB ^2 + PC^2 = 3PQ^2 + K

Find the constant K.

Could someone please give me some hints or text explanations, thanks!

Guest Aug 25, 2020