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An acute triangle which is not isosceles

Source: kjmo 2022 p1

October 29, 2022
geometryincenter

Problem Statement

The inscribed circle of an acute triangle ABCABC meets the segments ABAB and BCBC at DD and EE respectively. Let II be the incenter of the triangle ABCABC. Prove that the intersection of the line AIAI and DEDE is on the circle whose diameter is ACAC(passing through A, C).
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