MathDB

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Part of 1990 IMO Longlists

Problems(1)

Find the location when Sigma is maximal - ILL 1990 USS4

Source:

9/19/2010
The side-lengths of two equilaterals ABCABC and KLMKLM are 11 and 1/41/4, respectively. And triangle KLMKLM located inside triangle ABCABC. Denote by Σ\Sigma the sum of the distances from AA to lines KL,LMKL, LM and MKMK. Find the location of triangle KLMKLM when Σ\Sigma is maximal.
geometry unsolvedgeometry