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.Linq;

class Program
{   
    static void Main(string[] args)
    {
        string[] str = Console.ReadLine().Split(' ');

        double a, b, arg;
        double s, l, h;
        a = double.Parse(str[0]);
        b = double.Parse(str[1]);
        arg = double.Parse(str[2]) * (Math.PI / 180);

        s = (a * b * Math.Sin(arg)) / 2;
        l = a + b + Math.Sqrt(a * a + b * b - 2 * a * b * Math.Cos(arg));
        h = b * Math.Sin(arg);
     
        Console.WriteLine(string.Format("{0:f6}\n{1:f6}\n{2:f6}", s, l, h));      
    }
}