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MathNet 2008-part-03 — 165 problems (EN–VI) Question 72

Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)

Question 72

In the right triangle $\lg \frac{a-b}{2} = \frac{1}{2}(\lg a + \lg b - \lg 2)$, where $a \gt b$, $a, b$ are the sides of the triangle. Find the angles of the triangle.