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KVPY2015MathematicsCircle

The sides of a right -angled triangle are integers. The length of one of the sides is 12. The largest possible radius of the in circle of such a triangle is

Options

  1. A2
  2. B3
  3. C4
  4. D5

Correct answer

C. 4

Step-by-step solution

114+(a+r)²=(12+a-r)² r= 6 a a+6 A=6 r=3a=12 r=4

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