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.IO;
using System.Linq;
using System.Text;

namespace AtCoder
{
	class Program
	{
		static void Main(string[] args)
		{
			var Instance = new Question();
			Instance.Exec();
		}
	}

	public class Question
	{
		public void Exec()
		{
			var array = Console.ReadLine().Split(' ').Select(i => double.Parse(i)).ToArray();

			double a = array[0];
			double b = array[1];
			double c_rad = array[2] / 180.0 * Math.PI;
			double height = b * Math.Sin(c_rad);
			double area = a * height / 2.0;
			double c = Math.Sqrt(a * a + b * b - 2.0 * a * b * Math.Cos(c_rad));
			double length = a + b + c;

			Console.WriteLine($"{area:f6}");
			Console.WriteLine($"{length:f6}");
			Console.WriteLine($"{height:f6}");

			Console.ReadKey();
		}
	}
}