Constructing the Orthocenters and Centroids of Triangles

Construct:

1. the orthocenter of an acute scalene triangle


2. the orthocenter of an obtuse triangle


3. the orthocenter of a right triangle


4. the centroid of acute scalene triangle


5. the centroid of of an obtuse triangle


6. the centroid of a right triangle


7. circumscribe a circle about an acute triangle


8. circusmscribe a circle about an obtuse triangle


9. inscribe a circle in an acute triangle (remember, you MUST construct a perpendicular from the incenter to any side (preferably the longest side) of a triangle first BEFORE you can inscribe a circle!!!!)


10. inscribe a circle in an obtuse triangle