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.Linq;
class Program
{
    static void Main()
    {
        string str = Console.ReadLine();
        double a = double.Parse(str.Split(' ')[0]);
        double b = double.Parse(str.Split(' ')[1]);
        double c = double.Parse(str.Split(' ')[2]);
        c = Math.PI * (c / 180);
        double d = a * b * 0.5 * Math.Sin(c);
        double e = a + b + (Math.Sqrt(a * a + b * b - 2 * a * b * Math.Cos(c)));
        double f = b * Math.Sin(c);
 
        Console.WriteLine(d);
        Console.WriteLine(e);
        Console.WriteLine(f);
    }    
}