1993 OIM Problems/Problem 4

Problem

Let $ABC$ be an equilateral triangle and $Q$ be its inscribed circle. If $D$ and $E$ are points on sides $AB$ and $AC$ , respectively, such that $DE$ is tangent to $Q$ , show that $(AD)/(DB)+(AE)/(EC) = 1$ .

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

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1993 OIM Problems/Problem 4

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