from math import sqrt

point1 = {"x":3, "y":3}
point2 = {"x":1, "y":1}
point3 = {"x":6, "y":1}
a = sqrt(
    (point2["x"] - point1["x"])**2 + (point2["y"] - point1["y"])**2
)
b = sqrt(
    (point2["x"] - point3["x"])**2 + (point2["y"] - point3["y"])**2
)
c = sqrt(
    (point3["x"] - point1["x"])**2 + (point3["y"] - point1["y"])**2
)
P = a + b + c

p = P/2
S = sqrt(
    p*(p-a)*(p-b)*(p-c)
)

print(P, S)