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MathNet 2015-part-02 — 191 problems (EN–VI) Question 25

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

Question 25

In a triangle $ABC$ we have $|BC| + |AC| = 2|AB|$ and $\angle BAC - \angle CBA = 90^\circ$.

Determine the cosine of the angle $\angle ACB$.