question_answer

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 a triangle, will be ________.

A)  \[r=\frac{a+b+c}{2}\]             

B)  \[r=\frac{a+b-c}{2}\]

C)  \[r=\frac{a+b+2c}{2}\]           

D)  \[r=\frac{a+b-2c}{2}\]

E)  None of these