Question

If (0, -3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.

Answer 1

Let A (0,-3) B(0,3) C(x,y)
Such that
AB=BC=AC (equilateral triangle)
AB =

BC = 6
BC =

----------(i)

AC = 6

--------- (ii)

From i and ii
-12y=0
y=0
x =

The third vertex is either