Question: 3. Draw an arbitrary triangle AABC. Through each vertex, draw a line parallel to the opposite side. These three lines form a new triangle. What's

3. Draw an arbitrary triangle AABC. Through each vertex, draw a line parallel to the opposite side. These three lines form a new triangle. What's the relation between the perpendicular bisectors of this new triangle and the altitudes of the original one? Use this to give a different proof that the altitudes of AABC intersect at a common point

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