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KVPY2013MathematicsQuadratic Equation

In a triangle ABC with A < B < C , points D , E , F are on the interior of segments BC , CA , AB , respectively. Which of the following triangles CANNOT be similar to ABC ?

Options

  1. ATriangle ABD
  2. BTriangle BCE
  3. CTriangle CAF
  4. DTriangle DEF

Correct answer

A. Triangle ABD

Step-by-step solution

A < B < C In A B D greatest angles is D which is greater by C so A B D is not similar to A B C .

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