So, Em, let's see what we have.
Remember that the segment joining two midpoints is parallel to and half of the third side, so our vertices will be the same distance from the midpoint as the midpoints are apart.
Let's take (5,5) and (6,6) To get from the first to the second, we go up 1 and right 1.
The midpoint of the third side is (8,3). If we go up 1 and right 1 from (8,3), we get (9,4). Going the other way to get the other half of that side, we get (7,2).
Now, we can continue the same and compare our midpoints, or we can compare the midpoints to our two vertices to find the third.
To get from vertex (9,4) to our midpoint (6,6), we go up 2 and left 3. If we do the same from (6,6), we get (3,8). That should also work with (7,2) and (5,5). Going up 3 and left 2 from (5,5), we also get (3,8)
So, our vertices are (7,2), (9,4) and (3,8).
Hope this helps!
Hope this helps!
