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;

namespace solution
{
  class Class1
  {
    static void Main()
    {
      string[] s = Console.ReadLine().Split();
      double a = double.Parse(s[0]);
      double b = double.Parse(s[1]);
      double C = double.Parse(s[2]) / 180.0 * Math.PI;

      double h = b * Math.Sin(C);
      double S = a * h * 0.5;
      double L = a + b + Math.Sqrt(a * a + b * b - 2 * a * b * Math.Cos(C));

      Console.WriteLine("{0:f8}\n{1:f8}\n{2:f8}", S, L, h);
    }
  }
}