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Find the vertices of a triangle, given the midpoints.

The midpoints of the sides of triangle ABC are (4,1) , E (-2,3) , F ( 1,-4). Use analytic geometry to calculate the coordinates of the vertices of triangle ABC

One approach that might work is to note that the coordinates of the mid point of a line is the average of the coordinates at its end. So if A is (x1,y1) and B is (x2,y2) then the mid point D is the point ((x1+x2)/2 , (y1+y2)/2). I think you should first sketch out the diagram and decide which mid points are between which vertices. Good luck!
03 April 2012
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