Option 27 DHS 3.2

Option 27 DHS 3.2

DHS - 3.2
No. 1.27. The vertices of ∆ABC are given: A (7; 0); B (1; 4); C (–8; –4). 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. 2.27. Find the intersection point E of the medians of a triangle whose vertices are A (–3; 1); B (7; 5); C (5; –3).