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;

class program
{

    public static void Main()
    {
        var str = Console.ReadLine().Split(' ');
        double a = double.Parse(str[0]);
        double b = double.Parse(str[1]);
        int C = int.Parse(str[2]);

        double c = Math.Sqrt(a * a + b * b - 2.0 * a * b * Math.Cos(Math.PI * C / 180));

        double s = (a + b + c) / 2.0;
        double S = Math.Sqrt(s * (s - a) * (s - b) * (s - c));

        double L = a + b + c;
        double h = 2.0 * S / a;

        Console.WriteLine("{0:f5}", S);
        Console.WriteLine("{0:f5}", L);
        Console.WriteLine("{0:f5}", h);
    }
}