Geometry Problems, Online Education

 Problem 66. Triangle, Excircle, Tangents, Geometric Mean. Level: High School, SAT Prep, College

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In a triangle ABC, O is the excenter, DE is perpendicular to AO. If BD = d and CE = e, prove that DE is the geometric mean of d and e that is \(DE = 2\sqrt{d \cdot e}\).
 

Proposed geometry problem 66. Triangle, excircle, geometric mean

 

 

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