SOLUTION: What is the intersection of the altitude, medians, angle bisectors, and perpendicular bisectors?

Question 464275: What is the intersection of the altitude, medians, angle bisectors, and perpendicular bisectors?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
If you are referring to a triangle, the intersection of the altitudes (orthocenter), intersection of the medians (centroid), and the circumcenter (not mentioned in your question) do not intersect, but instead lie on the Euler line. Or, if you are referring to the feet of the altitudes, the midpoints of the sides, and the midpoints from the orthocenter to the vertices, these all lie on a circle, called the nine-point circle (simply because there are nine points determined here). I don't know if the altitude, medians, angle bisectors or perpendicular bisectors intersect in some way though.
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