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Cyclic Orthocenter Configuration

A cyclic quadrilateral, two altitude feet, and an orthocenter in the configuration used for the solution to Crux Mathematicorum Problem 5098.

Methods SVG construction

Cyclic quadrilateral BCAD with CB equal to CD. A₁ and B₁ are the altitude feet in triangle ABC; H bisects AA₁, and DB₁ is perpendicular to DB at D.
A representative configuration in which the two equivalent conditions hold.Select the diagram to enlarge it.

This independently prepared figure records only the configuration used in the accompanying solution. It does not reproduce the original problem statement.