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KVPY2014MathematicsProperties of Triangles

Let A B C be a triangle such that A B=B C . Let F be the midpoint of A B and X be a point on B C such that FX is perpendicular to AB . If BX =3 XC then the ratio BC / AC equals :

Options

  1. A3
  2. B2
  3. C3 2
  4. D1

Correct answer

C. 3 2

Step-by-step solution

A B=B C Cos = 2 3 and Sin 2 = 1 6 array l 2 = - = 2 = 1 6 = y 2 a = 1 6 a y = 3 2 array

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