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;
					
public class Program
{
	public static void Main()
	{
		var s = Console.ReadLine().Split(' ');
		
		var a = double.Parse(s[0]);
		var b = double.Parse(s[1]);
		var C = double.Parse(s[2]);
		
		var h = b * Math.Sin(Math.PI * C / 180.0);
		var c = Math.Sqrt(a*a + b*b - 2*a*b*Math.Cos(Math.PI * C / 180.0));
		
		var S = a*h/2.0;
		var L = a + b  + c;
		
		Console.WriteLine(S);
		Console.WriteLine(L);
		Console.WriteLine(h);
	}
}