Option 15 DHS 3.2

Option 15 DHS 3.2

DHS - 3.2
No. 1.15. The vertices ∆АВС are given: А (–3; 8); B (–6; 2); C (0; –5). 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. 2.15. Calculate the coordinates of the point of intersection of perpendiculars drawn through the midpoints of the sides of the triangle, the vertices of which are the points A (2; 3); B (0; –3); C (6; –3).