Geometry Problems, Online Education

 Problem 155. Euler's Theorem: Distance from the Incenter to the Circumcenter

In the figure below, ABC is a triangle inscribed in a circle of center O (circumcenter) and circumscribed in a circle of center I (incenter). If d is the distance from the incenter to the circumcenter prove that: Distance from the incenter to the circumcenter formula. View or post a solution.

Distance from the Incenter to Circumcenter

 

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