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TOT 204 1989 Spring Train J2 double inradii, triangles by median

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March 7, 2021
geometryinradiusmedianincircle

Problem Statement

In the triangle ABCABC the median AMAM is drawn. Is it possible that the radius of the circle inscribed in △ABM\vartriangle ABM could be twice as large as the radius of the circle inscribed in △ACM\vartriangle ACM ?
( D . Fomin , Leningrad)
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