triangle where altitude and median from A form triangle so that <A bis is median
Source: 2011 Sharygin Geometry Olympiad Correspondence Round P14
April 4, 2019
geometryratioaltitudemedian
Problem Statement
In triangle , the altitude and the median from vertex form (together with line ) a triangle such that the bisectrix of angle is the median; the altitude and the median from vertex form (together with line AC) a triangle such that the bisectrix of angle is the bisectrix. Find the ratio of sides for triangle .