Final answer:
To find the perimeter of a triangle, we use the distance formula to find the length of each side and then add them together.
Step-by-step explanation:
To find the perimeter of a triangle, we need to find the length of each side and then add them together. Using the distance formula, we can find the length of each side:
D1 = sqrt((2-1)^2 + (-3-3)^2) = sqrt(1^2 + (-6)^2) = sqrt(1+36) = sqrt(37)
D2 = sqrt((-1-2)^2 + (1-(-3))^2) = sqrt((-3)^2 + 4^2) = sqrt(9+16) = sqrt(25) = 5
D3 = sqrt((-1-1)^2 + (1-(-3))^2) = sqrt((-2)^2 + 4^2) = sqrt(4+16) = sqrt(20)
Now, we can add up the lengths to find the perimeter:
Perimeter = D1 + D2 + D3 = sqrt(37) + 5 + sqrt(20)