Problem:
Triangle

For given two sides of a triangle a and b and the angle C between them, calculate the following properties:

S: Area of the triangle

L: The length of the circumference of the triangle

h: The height of the triangle with side a as a bottom edge

Input

The length of a, the length of b and the angle C are given in integers.

Output

Print S, L and h in a line respectively. The output should not contain an absolute error greater than 10-4.

Sample Input

4 3 90

Sample Output

6.00000000
12.00000000
3.00000000

Solution in C# (judge verdict: Accepted)

using System;
using System.Linq;

 class PG
    {
        public static void Main(string[] args)
        {
            int[] array = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
            int a = array[0];
            int b = array[1];
            int c = array[2];

            double S, L, h;
            h = b * Math.Sin(Math.PI / 180 * c);
            S = h * a / 2;
            L =Math.Sqrt((double)a*a+b*b-Math.Cos(Math.PI / 180 * c)*a*b*2)+a + b;
            Console.WriteLine(S);
            Console.WriteLine(L);
            Console.WriteLine(h);
        }

    }