DHS - 3.2
No. 1.13. The vertices ∆АВС are given: А (–5; 2); B (0; –4); C (5; 7). Find: a) Equation side AB; b) Equation of height CH; c) the median AM equation; d) the intersection point N of the median AM and the height of the SN; e) the equation of a straight line passing through the vertex C and parallel to the side AB;
e) distance from point C to straight line AB.
No. 2.13. Given two vertices of the triangle ABC: A (–6; 2); In (2; –2) and the intersection point of its heights H (1; 2). Find the coordinates of the point M of the intersection of the side of the AU and the height BH