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14

Part of 2011 Sharygin Geometry Olympiad

Problems(1)

triangle where altitude and median from A form triangle so that <A bis is median

Source: 2011 Sharygin Geometry Olympiad Correspondence Round P14

4/4/2019
In triangle ABCABC, the altitude and the median from vertex AA form (together with line BCBC) a triangle such that the bisectrix of angle AA is the median; the altitude and the median from vertex BB form (together with line AC) a triangle such that the bisectrix of angle BB is the bisectrix. Find the ratio of sides for triangle ABCABC.
geometryratioaltitudemedian