Geometry Problems, Online Education

Online Geometry Problem 160. Triangle, Incircle, Incenter, Circumcircle, Circumcenter, Inradius. Level: High School, Honors Geometry, College, Mathematics Education

In the figure below, ABC is a triangle inscribed in a circle of center O (circumcenter) and I is the incenter. Line OI meets the circumcircle O and the incircle I at D, E, F, and G respectively. If r is the inradius, d = DF, and e = EG, prove that Inradius formula to proof.


Triangle inradius, circumcircle and incircle


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