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