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KVPY2016MathematicsProperties of Triangles

Three circles of radii 1,2 and 3 units respectively touch each other externally in the plane. The circumradius of the triangle formed by joining the centers of the circles is

Options

  1. A1.5
  2. B2
  3. C2.5
  4. D3

Correct answer

C. 2.5

Step-by-step solution

Formed triangle will be right angle whose sides are 3,4,5 So. circumradius = length of hypotenuse 2 =2.5

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