MathDB
Putnam 2001 A4

Source:

February 26, 2012
Putnamgeometryvectorgeometric transformationratioanalytic geometrysymmetry

Problem Statement

Triangle ABCABC has area 11. Points EE, FF, and GG lie, respectively, on sides BCBC, CACA, and ABAB such that AEAE bisects BFBF at point RR, BFBF bisects CGCG at point SS, and CGCG bisects AEAE at point TT. Find the area of the triangle RSTRST.
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