Circle Tangent to Circumcircle and
Two Sides of a Given Triangle

Given a triangle ABC and its circumcircle, construct a circle tangent to AB, AC, and the circumcircle.

 

Use a Geometer's SketchPad script to explore the problem.

 

There could be more than one constructed circle satisfying the conditions: tangent to AB, AC, and the Circumcircle.

 

 

             

Need some help?    Click here for an Analysis/Hint.

 

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