MathDB

18

Part of 2000 JBMO ShortLists

Problems(1)

5 regions of equal area - JBMO Shortlist

Source:

10/30/2010
A triangle ABCABC is given. Find all the segments XYXY that lie inside the triangle such that XYXY and five of the segments XA,XB,XC,YA,YB,YCXA,XB, XC, YA,YB,YC divide the triangle ABCABC into 55 regions with equal areas. Furthermore, prove that all the segments XYXY have a common point.
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