Constructing the Nine Point Circle
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In this exercise you given a triangle \(\Delta ABC\). Your task is to construct the Nine Point Circle associated to this triangle.
You can do this any way you like (and the fastest way does not necessarily require you to construct the centroid or the circumcircle). As an additional exercise, you can construct the centroid, the circumcircle and the Euler line. You can also use the length tool to verify that the radius of the Nine Point Circle is half the radius of the circumcircle of \(\Delta ABC\).