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TS EAMCET · Maths · Properties of Triangles

The greatest angle of the triangle whose sides are \(x^2+x+1,2 x+1\) and \(x^2-1\) is

  1. A \(75^{\circ}\)
  2. B \(90^{\circ}\)
  3. C \(105^{\circ}\)
  4. D \(120^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(120^{\circ}\)

Step-by-step Solution

Detailed explanation

Among \(x^2+x+1,2 x+1, x^2-1\), the largest value is \(x^2+x+1\). \(\therefore\) Greatest angle with the angle opposite to the side \(x^2+x+1\). Let it be \(\theta\).…