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MathNet 2026 — Part 03 Question 124

Math Olympiad Vault · MathNet 2026 — Part 03

Question 124

be $P$ a point on the side $BC$ of a triangle $ABC$. the parallel by $P$ a $AB$ Cut next to it $AC$ at the point $Q$ and the parallel by $P$ a $AC$ Cut next to it $AB$ at the point $R$. The ratio between the areas of the triangles $RBP$ y $QPC$ it is $k^2$. Determine the ratio between the areas of the triangles $ARQ$ y $ABC$.