POINT • LINE • LINE

Two Intersecting Lines, Point on Angle Bisector

Number of solutions: 2

GeoGebra construction

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Steps

  1. The given point and the centers of the solution circles lie on the angle bisector defined by the two given lines.
  2. Draw a perpendicular to the angle bisector through the given point. This perpendicular is the tangent of the solution circles.
  3. The centers of the solution circles lie on the angle bisectors formed by the perpendicular and one of the given lines.
  4. The centers of the solution circles are located at the intersections of the angle bisectors.
  5. The problem has two solutions.