Geometry Problems, Online Education

Geometry Problem 159. Distances from the Circumcenter to the Incenter and the Excenters. Level: High School, College, Mathematics Education

In the figure below, ABC is a triangle inscribed in a circle of center O (circumcenter), I is the incenter and E1, E2, E3 are the excenters relatives to the sides BC, AC, and AB respectively. If R, is the circumradius, d = OI, d1 = OE1, d2 = OE2, and d3 = OE3, prove that Formula to proof.
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Triangle distance centers
 


 

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