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AP EAMCET2016MathematicsProperties of Triangles

In a A B C , if A=90^ , then ⁻¹ ( R r₂+r₃ ) is equal to

Options

  1. A90^
  2. B30^
  3. C60^
  4. D45^

Correct answer

C. 60^

Step-by-step solution

Given, A =90^ In A B C , we know that aligned & r₂+r₃=4 R ^2 A 2 & r₂+r₃=4 R ^2 45^ & r₂+r₃=4 R 1 2 & r₂+r₃=2 R & ⁻¹ ( R r₂+r₃ )= ⁻¹ ( R 2 R )= ⁻¹ ( 1 2 )=60^ aligned

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