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Problem 526 from Wernick's corpus: Hb, Hc, H


Problem

Given a point Hb, a point Hc 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 Hb and the point H, construct a line hb (rule W02);

    % DET: points Hb and H are not the same

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

    % DET: points Hc and H are not the same

  3. Using the point Hb and the line hb, construct a line b (rule W10a);

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

    % NDG: lines b and hc are not parallel

    % DET: lines b and hc are not the same

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

  6. Using the line c and the line hb, construct a point B (rule W03);

    % NDG: lines c and hb are not parallel

    % DET: lines c and hb are not the same

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

    % NDG: lines b and c are not parallel

    % DET: lines b and c are not the same

animation
Construction in GCLC language

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