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TS EAMCET · Maths · Properties of Triangles

If the radius of the incircle of a triangle with sides \(5 k, 6 k\) and \(5 k\) is 6 , then the largest angle of that triangle is

  1. A \(\cot ^{-1}\left(\frac{3}{7}\right)\)
  2. B \(\tan ^{-1}\left(\frac{24}{7}\right)\)
  3. C \(\sin ^{-1}\left(\frac{3}{5}\right)\)
  4. D \(\cos ^{-1}\left(\frac{6}{\sqrt{85}}\right)\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\tan ^{-1}\left(\frac{24}{7}\right)\)

Step-by-step Solution

Detailed explanation

Given, sides of \(\triangle A B C\) is \(5 k, 5 k\) and \(6 k\) respectively, \(A B C\) is an isosceles triangle,…