For a triangle, which two points of concurrence could be located outside the triangle?
(1) incenter and centroid
(2) centroid and orthocenter
(3) incenter and circumcenter
(4) circumcenter and orthocenter
I feel like all of those points must be inside the triangle.
This is question 24 on the Aug 2012 regents. The answer is 4 but I have no idea why.