DHS - 3.2
№ 1.12. The vertices ∆АВС are given: А (–4; 2); B (8; –6); C (2; 6). 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.
№ 2.12. The equations of the side AB of the triangle ABC 4x + y = 12 are known; its height is BH 5x - 4y = 12 and AM x + y = 6. Find the equations of the two other sides of the triangle.