MathDB
Sharygin 2022 P15

Source: Sharygin 2022

March 4, 2022
geometrySharygin Geometry OlympiadSharygin 2022Inversionsimilar triangles

Problem Statement

A line ll parallel to the side BCBC of triangle ABCABC touches its incircle and meets its circumcircle at points DD and EE. Let II be the incenter of ABCABC. Prove that AI2=ADā‹…AEAI^2 = AD \cdot AE.
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