Problem 5_6


GeoGebra Construction:

Problem 5_6

Construct the following diagram with three circles each tangent internally to the circumcircle at a vertex, and externally to the incircle of a given triangle.


First, I constructed a circle and used tools from class last semester to construct the incircle and excircle. Then, I constructed three circles each going through one vertex and tangent to both the incircle and excircle.