The sides of a triangle are m, n and m^2+n^2+mn . What is the sum of the acute angles of the triangle?

NDA 2021 Mathematics question

The sides of a triangle are , and . What is the sum of the acute angles of the triangle?

Answer: (B)

The longest side is . Let be the angle opposite to it. By the cosine rule, $

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Question ID VK-033524