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KVPY2013MathematicsProperties of Triangles

In an acute-angled triangle ABC , the altitudes from A, B, C when extended intersect the circumcircle again at points A₁, B₁, C₁ , respectively. If A B C=45^ then A₁, B₁, C₁ equals

Options

  1. A45^
  2. B60^
  3. C90^
  4. D135^

Correct answer

C. 90^

Step-by-step solution

BCH =45^ = BCA ₁ C ₁ CA ₁= C ₁ B ₁ A ₁=90^

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