The sides of a triangle are

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

The sides of a triangle are α−β\alpha - \beta , α+β\alpha + \beta and 3α2+β2\sqrt{3\alpha^2 + \beta^2} , ( α>β>0\alpha > \beta > 0 ). Its largest angle is (1) 2π3\frac{2\pi}{3} (2) π2\frac{\pi}{2} (3) 3π4\frac{3\pi}{4} (4) 5π6\frac{5\pi}{6}

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