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KVPY2013MathematicsProperties of Triangles

The number of values of b for which there is an isosceles triangle with sides of length b+5,3 b-2 and 6-b is

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

C. 2

Step-by-step solution

Case (I) b+5=3 b-2 b= 7 2 So sides are 17 2 , 17 2 , 5 2 Case (II) b+5=6-b=b= 1 2 Sides 11 2 , -1 2 , 11 2 Not possible Case (III) 3 ~b -2=6- b 4 ~b =8 ~b =27,4,4 two cases are possible.

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