Problem 160. Triangle, Incircle, Incenter, Circumcircle, Circumcenter, Inradius

Machu Picchu. Math teacher Master Degree.

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. Post a comment or solution.

Triangle inradius, circumcircle and incircle


 

 

Elearning: Triangle, Circle, Incircle, Radius

 

 

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