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;

namespace Project
{
	class MainClass
	{
		public static void Main(string[] args)
		{
			string[] str = Console.ReadLine().Split(' ');
			double a = double.Parse(str[0]);
			double b = double.Parse(str[1]);
			double C = int.Parse(str[2]);
			C = Math.PI * C / 180;
			double c = Math.Sqrt(a * a + b * b - 2 * a * b * Math.Cos(C));
			double S = a * b * Math.Sin(C) / 2;
			double L = a + b + c;
			double h = b * Math.Sin(C);
			Console.Write("{0}\n{1}\n{2}\n", S, L, h);
		}
	}
}