Back to the list of problems

Problem 72 from Wernick's corpus: A, G, Hc


Problem

Given a point A, a point G and a point Hc, construct the triangle ABC.

Status

ArgoTriCS says that the problem is solvable.

Illustration

Figure of construction

Solution


  1. Using the point A and the point G, construct a point Ma (rule W01);

  2. Using the point A and the point Hc, construct a line c (rule W02);

    % DET: points A and Hc are not the same

  3. Using the point Hc and the point Ma, construct a circle k(Ma,B) (rule W06);

    % NDG: points Hc and Ma are not the same

  4. Using the circle k(Ma,B), the line c, the point Ma and the point Hc, construct a point B (rule W05);

    % NDG: line c and circle k(Ma,B) intersect

    % DET: points Hc and B must be different

  5. Using the point G and the point B, construct a point Mb (rule W01);

  6. Using the point A and the point Mb, construct a point C (rule W01);

animation
Construction in GCLC language

Back to the list of problems