Option 5 DHS 3.2

Option 5 DHS 3.2

DHS - 3.2
№1.5. The vertices ∆АВС are given: А (1; –2); B (7; 1); C (3; 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. 2.5. Find the equation of the line passing through the point A (2; –3) and the point of intersection of the lines 2x - y = 5 and x + y = 1.