Back to the list of problems

Problem 444 from Wernick's corpus: Mc, G, H


Problem

Given a point Mc, a point G and a point H, 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 G and the point H, construct a point O (rule W01);

  3. Using the point Mc and the point O, construct a line mc (rule W02);

    % DET: points Mc and O are not the same

  4. Using the point C and the point O, construct a circle k(O,C) (rule W06);

    % NDG: points C and O are not the same

  5. Using the point Mc and the line mc, construct a line c (rule W10a);

  6. Using the circle k(O,C) and the line c, construct a point A and a point B (rule W04);

    % NDG: line c and circle k(O,C) intersect

animation
Construction in GCLC language

Back to the list of problems