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 Math_Functions
{
    class Program
    {
        static void Main(string[] args)
        {
            var x = Console.ReadLine().Split(' ');
            var a = double.Parse(x[0]);
            var b = double.Parse(x[1]);
            var c = double.Parse(x[2]);

            var t = c * Math.PI / 180;

            Console.Write("{0:F4}\n{1:F4}\n{2:F4}\n",
            a * b * Math.Sin(t) / 2,
            a + b + Math.Sqrt(a * a + b * b - 2 * a * b * Math.Cos(t)),
            b * Math.Sin(t));
        }
    }
}