Orthocenter and Centroid

1. construct the orthocenter of an acute, otuse and right traingle
2. construct the centroid of an acute, obtuse, and right triangle
3. repeat numbers 1 and 2
4. write the equation of the perpendicular bisector of the line segment containing (3, 5) and (10, 3)
5. given A (1, 4) B (3, 8) and C (7, 11) write the equation of median a) AX, b) BY, and c) CZ.
6. given D (- 4, 5) E (- 3, 9) and F (2, 3), write the equation of altitudes a) DM b) EN and c) FP.