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a, b and c are the sides of a right angl...

a, b and c are the sides of a right angled triangle and a circle of radius r touches the sides of the triangle. If c is the hypotenuse of the triangle, then the value of r is :

A

`(a+b+c)/3`

B

`(a+b-c)/3`

C

`(a+b+c)/2`

D

`(a+b-c)/2`

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