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.Collections.Generic;
using System.Linq;
using System.Text;

namespace ITP1_10B
{
    class Program
    {
        static void Main(string[] args)
        {
            var input = Console.ReadLine().Split(' ');
            var a = int.Parse(input[0]);
            var b = int.Parse(input[1]);
            var C = int.Parse(input[2]);

            var radOfC = C * Math.PI / 180.0;

            var bx = Math.Cos(radOfC) * b;
            var by = Math.Sin(radOfC) * b;

            var c = Math.Sqrt((bx - a) * (bx - a) + (by - 0) * (by - 0));
            var h = b * Math.Sin(radOfC);
            var S = a * h / 2.0;
            var L = a + b + c;

            Console.WriteLine("{0}", S);
            Console.WriteLine("{0}", L);
            Console.WriteLine("{0}", h);
        }
    }
}