Geometry

import math

class Point:

    def __init__(self, x, y):
        self.x = x
        self.y = y

    def __repr__(self):
        return "Point(x: " + str(self.x) + ", y: " + str(self.y) + ")"

    def distanceX(self, that):
        return that.x - self.x

    def distanceY(self, that):
        return that.y - self.y

    def distanceTo(self, that):
        w = self.distanceX(that)
        h = self.distanceY(that)
        return math.sqrt(w ** 2 + h ** 2)

    def lineTo(self, point):
        return Line(self, point)


class Line:

    def __init__(self, p1, p2):
        self.p1 = p1
        self.p2 = p2

    def __repr__(self):
        return "Line(" + str(self.p1) + ", " + str(self.p2) + ")"

    def length(self):
        w = self.p1.distanceX(self.p2)
        h = self.p1.distanceY(self.p2)
        return math.sqrt(w ** 2 + h ** 2)

    def triangleTo(self, point):
        return Triangle(self.p1, self.p2, point)


class Triangle:

    def __init__(self, p1, p2, p3):
        self.p1 = p1
        self.p2 = p2
        self.p3 = p3

    def __repr__(self):
        return "Triangle(" + str(self.p1) + ", " + str(self.p2) + ", " + str(self.p3) + ")"

    def perimeter(self):
        l1 = self.p1.lineTo(self.p2).length()
        l2 = self.p2.lineTo(self.p3).length()
        l3 = self.p3.lineTo(self.p1).length()
        return l1 + l2 + l3

    def square(self):
        l1 = self.p1.lineTo(self.p2).length()
        l2 = self.p2.lineTo(self.p3).length()
        l3 = self.p3.lineTo(self.p1).length()
        p = (l1 + l2 + l3) / 2
        return math.sqrt(p * (p - l1) * (p - l2) * (p - l3))

    def isPointInside(self, point):
        a = (self.p1.x - point.x) * (self.p2.y - self.p1.y) - (self.p2.x - self.p1.x) * (self.p1.y - point.y)
        b = (self.p2.x - point.x) * (self.p3.y - self.p2.y) - (self.p3.x - self.p2.x) * (self.p2.y - point.y)
        c = (self.p3.x - point.x) * (self.p1.y - self.p3.y) - (self.p1.x - self.p3.x) * (self.p3.y - point.y)
        return (a >= 0 and b >= 0 and c >= 0) or (a <= 0 and b <= 0 and c <= 0)


p = Point(10, 20)

print(p)
print("No info")
print("")

l = p.lineTo(Point(24, 44))

print(l)
print("Length: " + str(l.length()))
print("")

s = l.triangleTo(Point(33, 11))

print(s)
print("Perimeter: " + str(s.perimeter()))
print("Square: " + str(s.square()))
print("")


test1 = Point(15, 25)
test2 = Point(0, 0)

print("Is " + str(test1) + " inside Triangle: " + str(s.isPointInside(test1)))
print("Is " + str(test1) + " inside Triangle: " + str(s.isPointInside(test2)))