Solution IDZ Ryabushko 3.2 - Option 30

Section: Chapter 3. Planes and Lines
Topic: Straight line on a plane. Triangle
Description: Equation of a straight line using two points, equations of sides, heights, medians of a triangle, finding the intersection point, distance from a point to a straight line, parallelism condition.

Tasks:
1. Given vertices of triangle ABC: A(x₁, y₁), B(x₂, y₂), C(x₃, y₃). Find: a) equation of side AB; b) equation of height CH; c) equation of median AM; d) the intersection point N of median AM and height CH; e) equation of a line passing through vertex C parallel to side AB; f) distance from point C to line AB.
2. Solve the following problems.

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