IDZ 3.2 - Option 1. Decisions Ryabushko AP

1. Given the vertices of the triangle ABC: A (x1, y1), B (x2, y2), C (x3, y3). Search:
  a) side of the equation AB
  b) the height of the equation CH
  c) The median equation AM
  d) the point of intersection of the median N AM and height CH
  e) The equation of the line passing through the top with parallel sides AB
  e) the distance from the point C to the line AB

  1.1 A (-2, 4) B (3, 1) C (10, 7)

2. Solve the following problems.
  2.1 Find the equation of the line passing through the point of intersection of 3x-2y-7 = 0 and x + 3y-6 = 0 and cuts on the x-axis a segment equal to 3.