using System;

namespace ConsoleApp4
{
    class Triangle {
        double AB;
        double BC;
        double AC;
        public Triangle(Point p1, Point p2, Point p3) {
            AB = GetDist(p1, p2);
            BC = GetDist(p2, p3);
            AC = GetDist(p1, p3);
        }
        public Triangle()
        {
            AB = 1;
            BC = 1;
            AC = 1;
        }

        public double GetDist(Point p1, Point p2) {
            return Math.Pow(Math.Pow((p1.X - p2.X), 2) + Math.Pow((p1.Y - p2.Y), 2), 0.5);
        }
        public override string ToString()
        {
            return $"AB : {AB:f3}, BC : {BC:f3}, AC : {AC:f3}, периметр : {Per():f3}, площадь : {Sq():f3}";
        }
        public double Per() {
            return AB + BC + AC;
        }
        public double Sq()
        {
            double p = Per() / 2;
            return Math.Pow(((p)* (p - AB) * (p - AC) * (p - AC)), 0.5);
        }
    }
    class Point {
        double x;
        double y;
        public double X {
            get {
                return x;
            }
        }
        public double Y
        {
            get
            {
                return y;
            }
        }
        public Point(double x, double y) {
            this.x = x;
            this.y = y;
        }



    }
    class Program
    {
        static Random rnd = new Random();
        static void Sort(ref Triangle[] arr) {
            for (int i = 0; i < arr.Length; i++) {
                for (int j = i; j < arr.Length; j++) {
                    if (arr[i].Sq() < arr[j].Sq()) {
                        Triangle t = arr[j];
                        arr[j] = arr[i];
                        arr[i] = t;
                    }
                }
            }
        }

        static void Main()

        {
            do
            {
                int N = rnd.Next(5, 16);
                Console.WriteLine($"Количество элементов в массиве : {N}");
                Triangle[] arr = new Triangle[N];
                double max_Sq = -1;
                for (int i = 0; i < N; i++)
                {
                    arr[i] = new Triangle(new Point(rnd.Next(-10, 11), rnd.Next(-10, 11)), new Point(rnd.Next(-10, 11), rnd.Next(-10, 11)), new Point(rnd.Next(-10, 11), rnd.Next(-10, 11)));
                    Console.WriteLine(arr[i]);
                    if (arr[i].Sq() > max_Sq)
                        max_Sq = arr[i].Sq();
                }
                Console.WriteLine("Отсортированный массив:");
                Sort(ref arr);
                for (int i = 0; i < N; i++) {
                    Console.WriteLine(arr[i]);
                }
            } while (Console.ReadKey(true).Key != ConsoleKey.Escape);
        }
    }
}