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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.

Solution:

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.