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Problem 170 from Wernick's corpus: B, Ha, Hc


Problem

Given a point B, a point Ha 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 B and the point Ha, construct a line a (rule W02);

    % DET: points B and Ha are not the same

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

    % DET: points B and Hc are not the same

  3. Using the point Ha and the line a, construct a line ha (rule W10b);

  4. Using the line ha and the line c, construct a point A (rule W03);

    % NDG: lines ha and c are not parallel

    % DET: lines ha and c are not the same

  5. Using the point Hc and the line c, construct a line hc (rule W10b);

  6. Using the line hc and the line a, construct a point C (rule W03);

    % NDG: lines hc and a are not parallel

    % DET: lines hc and a are not the same

animation
Construction in GCLC language

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