Back to the list of problems

Problem 441 from Wernick's corpus: Mc, G, Ha


Problem

Given a point Mc, a point G and a point Ha, construct the triangle ABC.

Status

ArgoTriCS says that the problem is solvable.

Illustration

Figure of construction

Solution


  1. Using the point Mc and the point G, construct a point C (rule W01);

  2. Using the point Ha and the point C, construct a line a (rule W02);

    % DET: points Ha and C are not the same

  3. Using the point Ha and the point Mc, construct a circle k(Mc,A) (rule W06);

    % NDG: points Ha and Mc are not the same

  4. Using the circle k(Mc,A), the line a, the point Mc and the point Ha, construct a point B (rule W05);

    % NDG: line a and circle k(Mc,A) intersect

    % DET: points Ha and B must be different

  5. Using the point B and the point Mc, construct a point A (rule W01);

animation
Construction in GCLC language

Back to the list of problems