MathDB
INMO 2019 P5

Source:

January 20, 2019
geometryINMO2019P5

Problem Statement

Let ABAB be the diameter of a circle Γ\Gamma and let CC be a point on Γ\Gamma different from AA and BB. Let DD be the foot of perpendicular from CC on to ABAB.Let KK be a point on the segment CDCD such that ACAC is equal to the semi perimeter of ADKADK.Show that the excircle of ADKADK opposite AA is tangent to Γ\Gamma.
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