#!/usr/bin/env python3
# -*- coding: utf-8 -*-

class Dot:
    def __init__(self):
        self.x = 0
        self.y = 0

    def __init__(self, x1, y1):
        self.x = x1
        self.y = y1

    def distance(self, d):
        a = ( (self.x - d.x)**2 + (self.y - d.y)**2 )**(0.5)
        return a

#///////////////////////////////////////////////////////
class Trangle:
    def __init__(self, dot_a, dot_b, dot_c):
        self.a = dot_a
        self.b = dot_b
        self.c = dot_c

    def p(self):
        p = self.a.distance(self.b) + self.c.distance(self.b) + self.a.distance(self.c)
        return p

    def s(self):
         p = self.p()/2
         s = (p * (p - self.a.distance(self.b)) * (p - self.c.distance(self.b)) * (p - self.a.distance(self.c)) )**(0.5)
         return s

    def isExists(self):
        bol = True
        if(self.a.distance(self.b) + self.c.distance(self.b) <= self.a.distance(self.c) and
        (self.a.distance(self.c)+ self.c.distance(self.b) <= self.a.distance(self.b)) and
        (self.a.distance(self.b) + self.a.distance(self.c) <= self.c.distance(self.b))):
            bol = False
        return bol

#///////////////////////////////////////////////////////
dot_1 = Dot(0,0)
dot_2 = Dot(5,5)
dot_3 = Dot(5,2)

trang = Trangle(dot_1, dot_2, dot_3)

print(trang.p())
print(trang.s())
print(trang.isExists())