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Multiple choice

If a, b, c are the sides of a right triangle where c is the hypotenuse then the radius r of the circle which touches the sides of the triangle is :

  1. $r=\dfrac { a+b+c }{ 2 }$
  2. $r=\dfrac { b+c-a }{ 2 }$
  3. $r=\dfrac { a+b-c }{ 2 }$
  4. $r=\dfrac { a+c-b }{ 2 }$
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