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Math Help - Aug 2012 regents question (triangle points)

  1. #1
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    Thumbs up Aug 2012 regents question (triangle points)

    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.

    Help!

    This is question 24 on the Aug 2012 regents. The answer is 4 but I have no idea why.
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  2. #2
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    Re: Aug 2012 regents question (triangle points)

    construct the circumcenter and orthocenter of an obtuse triangle ...
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