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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.

 

 

I know this was asked already, but I couldn't figure it out. Thanks!

 Sep 21, 2020
 #1
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Q = (1,5) and k = 18.

 Sep 21, 2020
 #2
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im still struggling on this question lmao

 Sep 21, 2020

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