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MathNet 2015-part-02 — 191 problems (EN–VI) Question 52

Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)

Question 52

Let $ABC$ be a triangle in which $\tan \angle BAC = 1$ and $\tan \angle ABC = 2$ holds.
Determine the ratio $|BC| : |AB|$. (Ilko Brnetić)