SOLUTION: if two vertices of an equilateral triangle are (-4,-3) and(4,1), find the remaining vertex

Question 1123419: if two vertices of an equilateral triangle are (-4,-3) and(4,1), find the remaining vertex

Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
There are two solutions (corresponding to points C and D) as shown in the drawing below.
Line AB has the equation
Line CD has the equation

Using point C(Cx, Cy), the distance squared to C from B (and A) must be 80. Using B's coordinates:

Subs and :

Which resolves to C at ( , )

and D at ( , )

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