Question 253208
I would say you have your work cut out for yourself.
Any line connecting the midpoints is parallel to a side of the original triangle
Pick two of the points. 
Find the line that goes through them.
Get the slope
Plug in an the x,y.
Use the same slope. Get the line. 
Do it two more times.
Find where those lines intersect.
The intersections will be the vertices.