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MathNet 2009-part-03 — 175 problems (EN–VI) Question 18

Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)

Question 18

Determine the angles of the triangle whose sides $a$, $b$ and $c$ satisfy the equality
$$
a - 4\sqrt{bc} + 2b = 2\sqrt{ac} - 3c.
$$