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MathNet 2011 Question 28

Math Olympiad Vault · MathNet 2011

Question 28

Let $XYZ$ be an equilateral triangle, and let $K, L, M$ be points on sides $XY, YZ, ZX$, respectively, such that $XK / KY = B$, $YL / LZ = 1 / C$, and $ZM / MX = 1$. Determine the ratio of the area of triangle $KLM$ to the area of triangle $XYZ$.