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Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the locus of the third vertex (x,y)

Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the locus of the third vertex (x,y) of an equilateral triangle consists of 2 lines, y + a = v3x

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