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MathNet 2003 — Part 01 Question 22

Math Olympiad Vault · MathNet 2003 — Part 01

Question 22

Let $ABC$ be a triangle with $AB = 30$, $BC = 50$, $CA = 40$. The lines $l_0, l_1, l_2$ are parallel to $BC$, $CA$, $AB$, respectively, and cut the triangle. The distances between $l_0$ and $BC$, $l_1$ and $CA$, $l_2$ and $AB$ are $1$, $2$, $3$, respectively. Find the sides of the triangle that determine $l_0, l_1, l_2$.