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: Wrong Answer)

using System;
using System.Linq;

class Problem {
    public static void Main() {
        var dat = Console.ReadLine().Split().Select(double.Parse).ToArray();
        Console.WriteLine(0.5 * dat[0] * dat[1] * Math.Sin(dat[2]));
        Console.WriteLine(Math.Sqrt(dat[0] * dat[0] + dat[1] * dat[1] - 2.0 * dat[0] * dat[1] * Math.Cos(dat[2])));
        Console.WriteLine(dat[1] * Math.Sin(dat[2]));
    }
}