The lengths of the legs of a right triangle are x and y, while the length of the hypotenuse is
x + y- 4. What is the maximum radius of a circle inscribed in this triangle?	Choices
A) 1
B) 2
C) 4
D) 22
E) cannot be determined from the information given
Length of hypotenuse: x + y-4 = a + b. Hence x + y = a + b + 4.   Sum of lengths of legs: x + y = a + b + 2r.   Therefore 2r = 4, so r = 2.   correct answer 2
<result>B</result>
The lengths of the legs of a right triangle are x and y, while the length of the hypotenuse is
x + y- 4. What is the maximum radius of a circle inscribed in this triangle?