Construct an incircle and a circumcircle of a triangle

This GeoGebra example demonstrates the construction of the incircle and circumcircle of a triangle. The incircle is tangent to all three sides, while the circumcircle passes through the vertices. Key mathematical concepts include triangle geometry, circle properties, and related theorems such as Pythagoras' theorem and trigonometric functions. The construction involves using the Polygon command to create the triangle with objects A, B, C, Vieleck1 (polygon), and sides c, a, b. It is suitable for middle or high school students learning geometric constructions and circle properties.