Problem 78 from Wernick's corpus

Problem 78 from Wernick's corpus: A, H_a, H_b

Given a point A, a point H_a and a point H_b, construct the triangle ABC.

ArgoTriCS says that the problem is solvable.

Using the point A and the point H_a, construct a line h_a (rule W02);

% DET: points A and H_a are not the same
Using the point A and the point H_b, construct a line b (rule W02);

% DET: points A and H_b are not the same
Using the point H_a and the line h_a, construct a line a (rule W10a);
Using the line a and the line b, construct a point C (rule W03);

% NDG: lines a and b are not parallel
% DET: lines a and b are not the same
Using the point H_b and the line b, construct a line h_b (rule W10b);
Using the line a and the line h_b, construct a point B (rule W03);

% NDG: lines a and h_b are not parallel
% DET: lines a and h_b are not the same