A(1, 1) B(0, 3) C(1, -1)

First we will calculate the measure of the sides:

AB = sqrt[(0-1)^2 + (3-1)^2]

= sqrt( 1 + 4)

= sqrt(5)

BC = sqrt[(1-0)^2 + (-1-3)^2]

= sqrt(1+ 16)

= sqrt(17)

AC = sqrt[(1-1)^2 + (-1-1)^2]

= sqrt(0+ 4)

= sqrt4 = 2

Then the perimeter is:

P = AB + BC + AC

= sqrt5 + sqrt17 + 2